Citations (excluding self and co-author citations)

To Ph.D. Thesis (T.1): Skokos Ch.: 1997, "Numerical and theoretical study of structures in the phase space of dynamical systems with two and three degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek). R.1) Katsanikas M.: 2012, "The structure of phase space in galactic type rotating Hamiltonian systems with three degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek). R.2) Grousouzakou E. : 2000, "Study of the distribution of periodic orbits in perturbed Hamiltonian systems with two degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek). R.3) Dokoumetzidis A. : 1999, "Study of the homoclinic tangle of a Hamiltonian system with two degrees of freedom", M.Sc. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek).

To book B.1: Bountis T. C. & Skokos Ch.: 2012, "Complex Hamiltonian Dynamics", 255 pages, Springer Series in Synergetics, Springer-Verlag, Berlin Heidelberg. R.4) van der Kallen W. & Verhulst F.: 2020, "Explorations for alternating FPU-chains with large mass", math.DS/2011.04290. R.5) Peng L., Fu W., Zhang Y. & Zhao H.: 2020, "Nekhoroshev’s law for the destability of nonlinear normal modes in the Fermi-Pasta-Ulam-Tsingou chains", nlin.CD/2010.04876. R.6) Verhulst F.: 2020, "Variations on the Fermi-Pasta-Ulam chain, a survey", nlin.CD/2003.09156. R.7) Verhulst F.: 2021, "High–low frequency interaction in alternating FPU 훼-chains", Int. J. Non-Lin Mech., 131, 103686. R.8) Dubeibe F.L., Saeed T. & Zotos E.E.: 2021, "Effect of multipole moments in the weak field limit of a black hole plus halo potential", Astroph. J., 908, 74. R.9) Attari Dezfuli M., Zeinoddini M. & Mashhadi Harati R.: 2020, "An analytical model for the coupled-field dynamic fatigue crack growth in a metallic beam under chaotic excitations", Theor. Appl. Fract. Mech., 109, 102726. R.10) Vélez J.A., Bragard J., Pérez L.M., Cabanas A.M., Suarez O.J., Laroze D. & Mancini H.L.: 2020, "Periodicity characterization of the nonlinear magnetization dynamics", Chaos, 30, 093112. R.11) Hirländer S.: 2020, "Exact Solutions of Indirect Transverse Field Effects in Elongated Structures with Applications to CERN LHC and PS", Ph.D. Thesis, Faculty of Physics, Vienna University of Technology. R.12) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.13) Lopez-Pina A.: 2019, "A control approach to complexity: from molecular vibrational dynamics to competition games on networks", Ph.D. Thesis, Universidad Politécnica de Madrid. R.14) Fuji K. & Toda M.: 2019, "Time series analysis for multi-dimensional dynamical systems combining wavelet transformation and local principal component analysis", Prog. Theor. Exp. Phys., 2019, 123A03. R.15) Nikolov S. & Zlatanov V.: 2019, "Dynamics of a Hamiltonian system with four degrees of freedom", Mech. Transp. Commun., 17, 1840. R.16) Zholmaganbetova A.: 2019, "The Dynamics of Hamiltonian Lattices With Application to Hollomon Oscillators". M.Sc. Thesis, Nazarbayev University, Kazakhstan. R.17) Miranda Filho L.H., Amato M.A., Elskens Y. & Rocha Filho T.M.: 2019, "Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems", Commun. Nonlin. Sci. Numer. Simulat., 74, 236–247. R.18) Tang H., Xing M., Liu Q. & Jiang G.: 2018, "On the periodic orbits of four-particles time-dependent FPU chains", Advan. Math. Phys., 2018, 4526917. R.19) Berk J. N.: 2018, " Optical Detection of Radio Waves through a Nanomechanical Transducer", M.Sc. Thesis, San Diego State University. R.20) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2018, "The Smaller Alignment Index (SALI) applied in a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60. R.21) Tarnopolski M.: 2018, "Correlation between the Hurst exponent and the maximal Lyapunov exponent: Examining some low-dimensional conservative maps", Phys. A, 490, 834-844. R.22) Zhou Z., Zhang B. & Qiu D.: 2017 "An investigation on frequency characteristics of wireless power transfer systems with relay resonators", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, 36, 1594-1611. R.23) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2017, "Using the SALI Method to Distinguish Chaotic and Regular Orbits in Barred Galaxies with the LP-VIcode Program", Prog. Phys., 13, 161-165.

Ch. Skokos 1 25/09/21 R.24) Wright J.A.: 2016, "Safe basins for a nonlinear oscillator with ramped forcing", Proc. R. Soc. A, 472, 20160190. R.25) Lopez-Pina A., Losada J.C., Benito R.M. & Borondo F.: 2016, "Frequency analysis of the laser driven nonlinear dynamics of HCN", J. Chme. Phys., 145, 244309. R.26) Robnik M.: 2016, "Recent results on time-dependent Hamiltonian oscillators", Eur. Phys. J. Special Topics 225, 1087–1101. R.27) Zou Y., Donner R.V., Thiel M. & Kurths J.: 2016, "Disentangling regular and chaotic motion in the standard map using complex network analysis of recurrences in phase space", Chaos, 26, 023120. R.28) Voyatzis G. & Meletlidou E.: 2015, "Introduction to nonlinear dynamical systems", ISBN: 978-960-603-103-8 (in Greek). R.29) Liu Q.-H., Xing M.-Y., Li X.-X. & Wang C.: 2015, "Unstable and exact periodic solutions of three-particles time-dependent FPU chains", Chin. Phys. B, 24, 120401. R.30) Benitez P., Losada J. C., Benito R. M. & Borondo F.: 2015, "Using the small alignment index chaos indicator to characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918. R.31) Kalogeropoulos N.: 2015, "Ricci Curvature, Isoperimetry and a Non-additive Entropy", Entropy, 17, 1278- 1308. R.32) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized (GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa. R.33) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem", Astron. Nachr., 335, 877-885. R.34) El Behery, R.: 2013, "Identifying system eigenvalues using DSM uncertainty principle approach", in "Reducing risk in innovation, Proceedings of the 15th International DSM Conference", eds. Scheurmann E., Maurer M., Schmidt D. & Lindemann U., Verlag, 107-114. R.35) Antonopoulos C., Bianco-Martinez E. & Baptista M. S.:2014, "Production and transfer of energy and information in Hamiltonian systems", PLOS ONE, 9, e89585. R.36) Antonopoulos C., Basios V., Demongeot J, Nardone P. & Thomas R.: 2013, "Linear and nonlinear arabesques: A study of closed chains of negative 2-element circuits", Int. J. Bifurc. Chaos, 23, 1330033. R.37) Boozer A.H.: 2013, "Model of magnetic reconnection in space and astrophysical plasmas", Phys. Plasmas, 20, 032903. R.38) Keshavamurthy S.: 2013, "Scaling perspective on intramolecular vibrational energy flow: Analogies, insights, and challenges", Advances in Chem. Phys., eds. Rice S.A. & Dinner A.R., 153, 43-110.

To edited volume EV.3: Gottwald G. & Skokos Ch. (eds.): 2014, Chaos, Volume 24, Issue 2. Focus Issue: "Chaos Detection Methods and Predictability". Editorial: "Preface to the Focus Issue: Chaos Detection Methods and Predictability", 2014, Chaos, 24, 024201. R.39) Zou Y., Donner R.V., Thiel M. & Kurths J.: 2016, "Disentangling regular and chaotic motion in the standard map using complex network analysis of recurrences in phase space", Chaos, 26, 023120. R.40) Ansmann G.: 2015, "A highly specific test for periodicity", Chaos, 25, 113106.

To edited volume EV.4: Skokos Ch., Gottwald G. & Laskar J. (eds.): 2016, "Chaos detection and predictability", Lecture Notes in Physics, 2016, Vol. 915, Springer-Verlag, Berlin Heidelberg. R.41) Agaoglou M., García-Garrido V.J., Katsanikas M. & Wiggins S.: 2021, "Visualizing the phase space of the HeI2 van der Waals complex using Lagrangian descriptors", Comm. Nonlin. Sci. Num. Simul. (in press). R.42) de Pedro-Carracedoa J., Ugenab A.M. & Gonzalez-Marcosc A.P.: 2019, "Dynamical analysis of biological signals with the 0–1 test", eess.SP/1906.00782. R.43) Karmakar S. & Keshavamurthy S.: 2021, "Arnold web and dynamical tunneling in a four-site Bose–Hubbard model", Physica D, 427, 133006. R.44) Stöber J. & Bäcker A.: 2021, "Geometry of complex instability and escape in four-dimensional symplectic maps", Phys. Rev. E, 103, 042208. R.45) Firmbach M.: 2021, "Chaotic transport and partial barriers in 4D symplectic maps", Ph.D. Thesis, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden. R.46) Chen Y. & Zhang Y.: 2021, "Chaotic signal denoising using an improved wavelet thresholding algorithm", in '2021 IEEE 3rd International Conference on Communications, Information System and Computer Engineering (CISCE 2021)', 200. R.47) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.48) Hillebrand M.: 2021, "Chaotic dynamics of polyatomic systems with an emphasis on DNA ", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2102.11020).

Ch. Skokos 2 25/09/21 R.49) Tran M.Q., Liu M.-K. & Tran Q.-V.: 2021, "Analysis of Milling Chatter Vibration Based on Force Signal in Time Domain", Lect. Notes Net. Syst., 178, 192–199. R.50) Li Y., Hao Y., Hwang K., Rainer R., He A., Liu A.: 2021, "Fast dynamic aperture optimization with forward- reversal integration", Nucl. Inst. Meth. Phys. Res. A, 988, 164936. R.51) Galán J.E.S.: 2020, "Quantifying chaos from time-series data through Lyapunov exponents: a computational data science approach", Ph.D. Thesis, Facultad de Estudios Estadísticos, Universidad Complutense de Madrid, Spain. R.52) Manos T.: 2020, "Non linear dynamics in complex systems: From quantum systems to brain neurons and galaxies", Habilitation Theis, CY Cergy Paris Université. R.53) Sander E. & Meiss J.D.: 2020, "Birkhoff averages and rotational invariant circles for area-preserving maps", Physica D, 411, 132569. 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R.69) Pouryoussefi S.M. & Zhang Y.: 2018, "Chaos in pulsating heat pipes", Book Chapter (https://www.researchgate.net/publication/324606165_Chaos_in_Pulsating_Heat_Pipes). R.70) Huang D.,Chen Q., Ma S., Zhang Y. & Chen S.: 2018, "Wide-Area Measurement—Based Model-Free Approach for Online Power System Transient Stability Assessment", Energies, 11, 958. R.71) Iserles A. & Quispel G.R.W.: 2018, "Why Geometric Numerical Integration?", in "Discrete Mechanics, Geometric Integration and Lie–Butcher Series", eds. Ebrahimi-Fard K. & Barbero Liñán M., Springer Proceedings in Mathematics & Statistics 267, 1-28. R.72) Wei S., Yang M., Qi J., Wang J., Ma S. & Han X., 2018, "Model-Free MLE Estimation for Online Rotor Angle Stability Assessment With PMU Data" in IEEE Transactions on Power Systems, 33, 2463-2476. R.73) Mithun T., Kati Y., Danieli C. & Flach S.: 2018, "Weakly nonergodic dynamics in the Gross-Pitaevskii lattice", Phys. Rev. Lett., 120, 184101. 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Ch. Skokos 3 25/09/21 R.77) Hillebrand M.: 2017, "Chaotic Dynamics of DNA Models", Honours Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.78) Machado R.E.G. & Manos T.: 2016, "Chaotic motion and the evolution of morphological components in a time- dependent model of a barred galaxy within a dark matter halo", MNRAS, 458, 3578-3591.

To paper BC.1: Skokos Ch.: 2010, "The Lyapunov Characteristic Exponents and their computation", Lect. Notes Phys., 790, 63-135. R.79) Malishava M. & Flach S.: 2021, "Lyapunov spectrum scaling for many-body dynamics close to integrability", nlin.CD/2109.01361. R.80) Rappeport H., Reisman I.L., Tishby N. & Balaban N.Q.: 2021, "Detecting chaos in lineage-trees: A deep learning approach", cs.LG/2106.08956. R.81) Mukherjee A., Aydogdu Y., Ravichandran T. & Namachchivaya N.S.: 2021,"Stochastic Parametrization using Compressed Sensing: Application to the Lorenz-96 Atmospheric Model", math.DS/2106.14110. R.82) Agrusa H.F., Gkolias I., Tsiganis K., Richardson D.C., Meyer A.J., Scheeres D.J., Ćuk M., Jacobson S.A., Michel P., Karatekin Ö., Cheng A.F., Hirabayashi M., Zhang Y., Fahnestock E.G. & Davis A.B: 2021, "The Excited Spin State of Dimorphos Resulting from the DART Impact", astro-ph.EP/2107.07996. R.83) Danca M.-F.: 2021, "Matlab code for Lyapunov exponents of fractional order systems, Part II: The non- commensurate case", physics.comp-ph/2104.11323. R.84) Kawan C., Hafstein S. & Giesl P.: 2021, "A subgradient algorithm for data-rate optimization in the remote state estimation problem", math.OC/2103.11131. R.85) Roy M., Chakraborty S. & Mali K.: 2021, "A chaotic framework and its application in image encryption", Multimedia Tools Applic., in press. R.86) Plávalová E. & Rosaev A.: 2021, "Dynamical effect of the 9:16 resonance with Mars on some Datura asteroids, including the pair Balam and 312497", A&A, 653, A4. R.87) Aslanov V.S. & Sizov D.A.: 2021, "Chaos in flexible CubeSat attitude motion due to aerodynamic instability", Acta Astron., 189, 310–320. R.88) Barratt, F.: 2021, "The dynamics and control of quantum information out of equilibrium", Ph.D. Thesis, King's College London, UK. R.89) Giri S. & Nandan H.: 2021, "Stability analysis of geodesics and quasinormal modes of a dual stringy black hole via Lyapunov exponents", Gen. Relat. Grav., 53, 76. R.90) Carruba V., Aljbaae S., Domingos R.C., Huaman M. & Barletta W.: 2021, "Chaos identification through the autocorrelation function indicator (ACFI)", Cel. Mech. Dyn. Astron., 133, 38. R.91) Tan P., Hou X.-H. & Liao X.-H.: 2021, "Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem", Cel. Mech. Dyn. Astron., 133, 31. R.92) Bueno C.C.: 2021, "Expoentes dinâmicos no mapa padrão dissipativo", M.Sc. Thesis, Universidade Estadual Paulista, Brazil (in Portuguese). R.93) Penner A.: 2021, "Characterization of bifurcations in the Zeeman catastrophe machine using singular value decomposition", Chaos Sol. Fract. 148, 111054. R.94) Pal A.K., Abouelmagd E.I. & Kishor R.: 2021, "Effect of Moon perturbation on the energy curves and equilibrium points in the Sun–Earth–Moon system", New Astron., 84, 101505. R.95) López A.G., Ali R., Mandi L. & Chatterjee P.: 2021, "Average conservative chaos in quantum dusty plasmas", Chaos, 31, 013104. R.96) Kidd R.A., Safavi-Naini A. & Corney J.F.: 2021,"Saddle-point scrambling without thermalization", Phys. Rev. A, 103, 033304. R.97) Hegedus F.: 2021, "Program package MPGOS: Challenges and solutions during the integration of a large number of independent ODE systems using GPUs", Commun. Nonlin. Sci. Num. Simul., 97, 105732. R.98) Coulibaly S., Tiofack C.G.L. & Clerc M.G.: 2021, "Spatiotemporal complexity mediated by higher-order Peregrine-like extreme events", Front. Phys., 9, 644584. R.99) Chatar W., Kharbach J., Benkhali M., El Ghamari M., Benmalek M., Rezzouka A. & Ouazzani-Jamil M.: 2021, "Painlevé’s analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential", Phys. Lett. A, 401, 127331. R.100) Borisov A.V., Tsiganov A.V. & Mikishanina E.A.: 2021, "On inhomogeneous nonholonomic Bilimovich system", Commun. Nonlin. Sci. Numer. Simulat. 94, 105573. R.101) Pal A.K., Abouelmagd E.I & Kishor R.: 2021, "Effect of Moon perturbation on the energy curves and equilibrium points in the Sun–Earth–Moon system", New Astron., 84, 101505. R.102) Li Y., Hao Y., Hwang K., Rainer R., He A., Liu A.: 2021, "Fast dynamic aperture optimization with forward- reversal integration", Nucl. Inst. Meth. Phys. Res. A, 988, 164936. R.103) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685).

Ch. Skokos 4 25/09/21 R.104) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.105) Hillebrand M.: 2021, "Chaotic dynamics of polyatomic systems with an emphasis on DNA ", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2102.11020). R.106) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.107) Manzi M. & Vasile M: 2020, "Analysis of stochastic nearly-integrable dynamical systems using polynomial chaos expansions" in '2020 AAS/AIAA Astrodynamics Specialist Conference', AAS 20-568. R.108) Manos T.: 2020, "Non linear dynamics in complex systems: From quantum systems to brain neurons and galaxies", Habilitation Theis, CY Cergy Paris Université. 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To paper P.2: Skokos Ch., Contopoulos G. & Polymilis C.: "Structures in the phase space of a four dimensional symplectic map", 1997, Cel. Mech. Dyn. Astron., 65, 223-251. R.456) Agaoglou M., García-Garrido V.J., Katsanikas M. & Wiggins S.: 2021, "Visualizing the phase space of the HeI2 van der Waals complex using Lagrangian descriptors", Comm. Nonlin. Sci. Num. Simul. (in press). R.457) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.458) Lukes-Gerakopoulos G., Katsanikas M., Patsis P.A. & Seyrich J.: 2016, "Dynamics of a spinning particle in a linear in spin Hamiltonian approximation", Phys. Rev. E, 94, 024024. R.459) Cincotta P.M. & Giordano C.M.: 2016, "Theory and Applications of the Mean Exponential Growth Factor of Nearby Orbits (MEGNO) Method", Lect. Notes Phys., 915, 93-128. R.460) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized (GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa. R.461) Richter M., Lange S. Bäcker A. & Ketzmerick R.: 2014, "Visualization and comparison of classical structures and quantum states of four-dimensional maps", Phys. Rev. E, 89, 022902. R.462) Cincotta P.M., Efthymiopoulos C., Giordano C.M. & Mestre M.F.: 2014, "Chirikov and Nekhoroshev diffusion estimates: bridging the two sides of the river", Physica D, 266, 49-64.

Ch. Skokos 17 25/09/21 R.463) Efthymiopoulos C. & Harsoula M.: 2013, "The speed of Arnold diffusion", Physica D, 251, 19-38. R.464) Zotos E.E.: 2012, "Application of new dynamical spectra of orbits in Hamiltonian systems", Nonlinear Dyn., 69, 2041-2063. R.465) Katsanikas M.: 2012, "The structure of phase space in galactic type rotating Hamiltonian systems with three degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek). R.466) Maffione N.P., Darriba L.A., Cincotta P.M. & Giordano C.M.: 2011, "A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings", Cel. Mech. Dyn. Astron., 111, 285- 307. R.467) Katsanikas M. & Patsis P. A.: 2011, "The structure of invariant tori in a 3D galactic potential", Int. J. Bifurc. Chaos, 21, 467-496. R.468) Parsopoulos K.E. & Vrahatis M.N.: 2010, "Chapter 7: Applications in Dynamical Systems" in "Particle Swarm Optimization and Intelligence: Advances and Applications", 168-184, Information Science Reference, Hershey, New York. R.469) Efthymiopoulos C.: 2009, "Scaling of the diffusion coefficient on the normal form remainder in doubly-resonant domains", in "Dynamics of Celestial Bodies", eds. Varvoglis H. & Knezevic Z., Publications of the Astronomical Observatory of Belgrade, Special Issue, 113-116. R.470) Efthymiopoulos C.: 2008, "On the connection between the Nekhoroshev theorem and Arnold diffusion", Cel. Mech. Dyn. Astron., 102, 49-68. R.471) Petalas, Y. G., Parsopoulos, K. E. & Vrahatis, M. N.: 2008, "Stochastic optimization for detecting periodic orbits of nonlinear mappings", Nonlin. Phenom. Complex Syst., 11, 285-291. R.472) Petalas, Y. G., Parsopoulos, K. E. & Vrahatis, M. N.: 2007, "Entropy-Based Memetic Particle Swarm Optimization for Computing Periodic Orbits of Nonlinear Mappings", IEEE 2007 Congress on Evolutionary Computation (CEC 2007), Singapore, 2040-2047. R.473) Parsopoulos, K. E.: 2004, "Algorithms of computational intelligence for numerical optimization", Ph.D Thesis, Department of Mathematics, Univ. of Patras (in Greek). R.474) Parsopoulos K. E. & Vrahatis M. N. : 2003, "Computing periodic orbits of nondifferentiable / discontinuous mappings through Particle Swarm Optimization", IEEE Swarm Intelligence Symposium (SIS 2003), Indianapolis, USA, 34-41 (http://www.math.upatras.gr/~kostasp/papers/perorb.pdf).

To paper P.3: Polymilis C., Servizi G. & Skokos Ch.: "A quantitative bifurcation analysis of Hénon-like 2D maps", 1997, Cel. Mech. Dyn. Astron., 66, 365-385. R.475) Parsopoulos K.E. & Vrahatis M.N.: 2010, "Chapter 7: Applications in Dynamical Systems" in "Particle Swarm Optimization and Intelligence: Advances and Applications", 168-184, Information Science Reference, Hershey, New York. R.476) Petalas, Y. G., Parsopoulos, K. E. & Vrahatis, M. N.: 2008, "Stochastic optimization for detecting periodic orbits of nonlinear mappings", Nonlin. Phenom. Complex Syst., 11, 285-291. R.477) Parsopoulos, K. E.: 2004, "Algorithms of computational intelligence for numerical optimization", Ph.D Thesis, Department of Mathematics, Univ. of Patras (in Greek). R.478) Parsopoulos K. E. & Vrahatis M. N. : 2003, "Computing periodic orbits of nondifferentiable / discontinuous mappings through Particle Swarm Optimization", IEEE Swarm Intelligence Symposium (SIS 2003), Indianapolis, USA, 34-41 (http://www.math.upatras.gr/~kostasp/papers/perorb.pdf). R.479) Dokoumetzidis A. : 2002, "Contribution to the study of heterogeneity of biopharmaceutical, pharmacokinetic and pharmacodynamic processes", Ph.D. Thesis, School of Pharmacy, Univ. of Athens (in Greek).

To paper P.4: Founargiotakis M., Farantos S. C., Skokos Ch. & Contopoulos G.: "Bifurcation diagrams of periodic orbits for unbound molecular systems : FH2", 1997, Chem. Phys. Let., 277, 456-464. R.480) Katsanikas M., Agaoglou M. & Wiggins S.: 2021, "Bifurcation of dividing surfaces constructed from a pitchfork bifurcation of periodic orbits in a symmetric potential energy surface with a post-transition-state bifurcation", nlin.CD/2107.09623. R.481) Katsanikas M., Sanjuan B.A., Montoya F.G., García-Garrido V.J. & Wiggins S.: 2021, "Bifurcation study on a degenerate double van der Waals cirque potential energy surface using Lagrangian descriptors", nlin.CD/2105.07984. R.482) Braga M.E.: 2021, "Coherence in the ferroelectric A3ClO (A = Li, Na) family of electrolytes", Materials, 14, 2398. R.483) Li Y, Rafaqat M., Zia T.J., Ahmed I. & Jung C.Y.: 2019, "Flip and Neimark-Sacker Bifurcations of a Discrete Time Predator-Pre Model", IEEEAccess, 7, 123430. R.484) Zhang Q., Li L., Tang D. & Zhao L.: 2016, "Period-Timing Bifurcations in a Dispersion-Managed Fiber Laser With Zero Group Velocity Dispersion", IEEE Photonics J., 8, 1504608.

Ch. Skokos 18 25/09/21 R.485) Mali M., Goyal N. & Trivedi H.: 2014, "Geometric Methods in the Theory of Ordinary Differential Equations: A Review", Int. J. Research Sci. Innovation, 1(5), 37-43. R.486) Zhou T.: 2013, "Bifurcation" in "Encyclopedia of Systems Biology", eds. Dubitzky W., Wolkenhauer O., Yokota H. & ChoK.-H., Springer, 79-86. R.487) Seoane J.M. & Sanjuán M.A.F.: 2013, "New developments in classical chaotic scattering", Rep. Prog. Phys., 76, 016001. R.488) Burkhardt P.: 2004, "Explicit, multi-map symplectic integrator for three-body classical trajectory studies in hyperspherical coordinates", Ph.D. Thesis, Graduate College, University of Illinois at Urbana-Champaign. R.489) Prosmiti R., Villarreal P., Delgado-Barrio G. & Roncero O. : 2002, "A combined classical/quantum study of the photodissociation dynamics of NeBr2(B) near the Br2(B) dissociation limit", Chem. Phys. Let., 359, 229-236. R.490) Pattard T.: 1998, "Klassische Mechanik und Fragmentationspozesse in atomaren und molekularen Systemen", Ph.D . Thesis, Fakultät für Physik, Albert-Ludwigs-Universität Freiburg (in German) (http://www.mpipks- dresden.mpg.de/mpi-doc/rostgruppe/dissertation/diss-tpattard.ps).

To paper P.5: Polymilis C., Skokos Ch., Kollias G., Servizi G. & Turchetti G.: "Bifurcations of beam-beam like maps", 2000, J. Phys. A, 33, 1055-1064. R.491) Wang F.: 2014, "Bifurcation Problems for Generalized Beam Equations", Advances Math. Phys., 2014, 635731. R.492) Parsopoulos K.E. & Vrahatis M.N.: 2010, "Chapter 7: Applications in Dynamical Systems" in "Particle Swarm Optimization and Intelligence: Advances and Applications", 168-184, Information Science Reference, Hershey, New York. R.493) Petalas, Y. G., Parsopoulos, K. E. & Vrahatis, M. N.: 2008, "Stochastic optimization for detecting periodic orbits of nonlinear mappings", Nonlin. Phenom. Complex Syst., 11, 285-291. R.494) Petalas, Y. G., Parsopoulos, K. E. & Vrahatis, M. N.: 2007, "Entropy-Based Memetic Particle Swarm Optimization for Computing Periodic Orbits of Nonlinear Mappings", IEEE 2007 Congress on Evolutionary Computation (CEC 2007), Singapore, 2040-2047. R.495) Parsopoulos, K. E.: 2004, "Algorithms of computational intelligence for numerical optimization", Ph.D Thesis, Department of Mathematics, Univ. of Patras (in Greek). R.496) Parsopoulos K. E. & Vrahatis M. N. : 2003, "Computing periodic orbits of nondifferentiable / discontinuous mappings through Particle Swarm Optimization", IEEE Swarm Intelligence Symposium (SIS 2003), Indianapolis, USA, 34-41 (http://www.math.upatras.gr/~kostasp/papers/perorb.pdf). R.497) Dokoumetzidis A. : 2002, "Contribution to the study of heterogeneity of biopharmaceutical, pharmacokinetic and pharmacodynamic processes", Ph.D. Thesis, School of Pharmacy, Univ. of Athens (in Greek). R.498) Papaphilippou Y. & Zimmermann F. : 2002, "Εstimates of diffusion due to long-range beam-beam collisions", Phys. Rev. Special Topics - Accelerator and beams, 5, 074001, 1-12.

To paper P.6: Skokos Ch. & Dokoumetzidis A.: "Effective stability of the Trojan asteroids", 2001, Astron. Astroph., 367, 729-736. R.499) Tan P., Hou X.-H. & Liao X.-H.: 2021, "Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem", Cel. Mech. Dyn. Astron., 133, 31. R.500) Caracciolo C. & Locatelli U.: 2020, "Computer-assisted estimates for Birkhoff normal forms", J. Comput. Dyn., 7, 425-460. R.501) Giorgilli A.: 2018, "Il flebile sussurro del caos nell’ armonia dei pianeti", in "Meccanica Teorica e Applicata", eds. Cinquini C., Robbiati Bianchi A. & Sacchi Landriani G., Istituto Lombardo - Accademia di Scienze e Lettere - Incontri di Studi (http://www.ilasl.org/index.php/Incontri/issue/view/48), 147-198 (in Italian). R.502) Páez R.I.: 2017, "New normal form approaches adapted to the Trojan problem", Ph.D Thesis, Università degli studi di Roma “Tor Vergata”, astro-ph.EP/1703.08819. R.503) Giorgilli A., Locatelli U. & Sansottera M.: 2017, "Secular Dynamics of a Planar Model of the Sun-Jupiter- Saturn-Uranus System; Effective Stability in the Light of Kolmogorov and Nekhoroshev Theories", Reg. Chaot. Dyn., 22, 54-77. R.504) Guzzo M.: 2015, "The Nekhoroshev theorem and long–term stabilities in the Solar system", Serb. Astron. J., 190, 1-10. R.505) Hou X., Scheeres D.J. & Liu L.: 2014, "Dynamics of the Jupiter Trojans with Saturn’s perturbation in the present configuration of the two planets", Cel. Mech. Dyn. Astron., 119, 119-142. R.506) Sansottera M., Locatelli U. & Giorgilli A.: 2013, "On the stability of the secular evolution of the planar Sun– Jupiter–Saturn–Uranus system", Math. Comput. in Simul., 88, 1-14. R.507) Sansottera M.: 2010, "Effective stability of Hamiltonian planetary systems", Ph.D. Thesis, Facoltà di Scienze Matematiche Fisiche e Naturali, Università Statale degli Studi di Milano. R.508) Celletti A.: 2010, "Stability and Chaos in Celestial Mechanics", Springer-Verlag. R.509) Hou X. Y. & Liu L.: 2010, "On quasi-periodic motions around the triangular libration points of the real Earth– Moon system", Cel. Mech. Dyn. Astron., 108, 301-313.

Ch. Skokos 19 25/09/21 R.510) Robutel P. & Souchay J.: 2010, "An introduction to the dynamics of Trojan asteroids ", Lect. Notes Phys., 790, 195-227. R.511) Robutel P. & Bodossian J.: 2009, "The resonant structure of Jupiter’s Trojans asteroids-II. What happens for different configurations of the planetary system", MNRAS, 399, 69-87. R.512) Lhotka Ch.: 2008, "Nekhoroshev Stability in the Elliptic Restricted Three Body Problem. The 1:1 Resonance in the Sun-Jupiter System", Ph.D. Thesis, Fakultät für Geowissenschaften, Geographie und Astronomie, Universität Wien (http://othes.univie.ac.at/3528/). R.513) Lhotka Ch., Efthymiopoulos C. & Dvorak R. : 2008, "Nekhoroshev stability at L4 or L5 in the elliptic-restricted three-body problem - application to Trojan asteroids", MNRAS, 384, 1165-1177. R.514) Schwarz R., Dvorak R., Süli Á. & Érdi B.: 2007, "Survey of the stability region of hypothetical habitable Trojan planets", Astron. Astroph., 474, 1023–1029. R.515) Freistetter F. : 2006, "The size of the stability regions of Jupiter Trojans", Astron. Astroph., 453, 353-361. R.516) Dvorak R. & Freistetter F.: 2005 "Orbit Dynamics, Stability and Chaos in Planetary Systems", Lect. Notes Phys. 683, 3–140. R.517) Efthymiopoulos Ch. & Sándor Z. : 2005, "Optimized Nekhoroshev stability estimates for the Trojan asteroids with a symplectic mapping model of co-orbital motion", MNRAS, 364, 253-271. R.518) Tsiganis K., Varvoglis H & Dvorak R.: 2005, "Chaotic diffusion and effective stability of Jupiter Trojans", Cel. Mech. Dyn. Astron., 92, 71-87. R.519) Robutel P., Gabern F. & Jorba À.: 2005, "The observed Trojans and the global dynamics around the Lagrangian points of the Sun-Jupiter system", Cel. Mech. Dyn. Astron., 92, 53-69. R.520) Efthymiopoulos Ch.: 2005, "Formal integrals and Nekhoroshev stability in a mapping model for the Trojan asteroids", Cel. Mech. Dyn. Astron., 92, 29-52. R.521) Dvorak R. & Schwarz R.: 2005, "On the stability regions of the Trojan asteroids", Cel. Mech. Dyn. Astron., 92, 19-28. R.522) Gabern F. & Jorba À. : 2005, "Effective computation of the dynamics around a two-dimensional torus of a Hamiltonian system", J. Nonlinear Science, 15, 159-182. R.523) Efthymiopoulos Ch.: 2005, "Nekhoroshev stability estimates for different models of the Trojan asteroids", in "Dynamics of populations of planetary systems", Proc. IAU Col. No. 197, eds. Knežević Z. & Milani A., Cambridge Univ. Press, 195-204. R.524) Gabern F., Jorba À. Locatelli U.: 2005, "On the construction of the Kolmogorov normal form for the Trojan asteroids", Nonlinearity, 18, 1705-1734. R.525) Gabern F. & Jorba À. : 2004, "Generalizing the restricted three-body problem. The bianular and tricircular coherent problems", Astron. Astroph., 420, 751-762. R.526) Carruba V. : 2004, "Dynamics of asteroid families and irregular satellites of Jovian planets", Ph. D Thesis, Cornell University. R.527) Gabern F. & Jorba À. : 2003, "Some models for the Trojan motion", in "Proceedings of the “V Jornadas de Mecánica Celeste” ", Monografías de la Real Academia de Ciencias de Zaragoza, 22, 11-20, (http://www.maia.ub.es/dsg/2002/0201gabern.zip). R.528) Kotoulas T. A. : 2003, "Dynamical evolution of bodies at the regions of resonances of the outer solar system", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Thessaloniki (in Greek). R.529) Gabern F. & Jorba À. : 2003, "Restricted four and five body problems in the Solar system", in "Proceedings of the Conference Libration Point Orbits and Applications", eds. Gómez G., Lo M. W. & Masdemont J. J., World Scientific, 573-586. R.530) Contopoulos G., Efthymiopoulos C. & Giorgilli A. : 2003, "Non-convergence of formal integrals of motion", J. Phys. A, 36, 8639-8660. R.531) Gabern F. : 2003, "On the dynamics of the Trojan asteroids", Ph.D. Thesis, Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona (http://www.maia.ub.es/~gabern/tesi/0301gabern.pdf). R.532) IAU Commission 7 : Celestial Mechanics and Dynamical Astronomy (Mecanique Celeste et Astronomie Dynamique) : 2002, Reports on Astronomy, Vol. XXVA, ed. Rickman H., 15-29. R.533) Arakida H. & Fukushima T.: 2002, "Motion around triangular Lagrange points perturbed by other bodies", in "Dynamical friction strikes back. Proceedings of the 34th Symposium on Celestial Mechanics", March 11-13, 2002 at Hakone-Onsen, Kanagawa, Japan, eds. Kokubo E., Ito T., Arakida. Mitaka H., Tokyo, Japan: National Astronomical Observatory, 265-288 R.534) Dvorak R. & Süli Á. : 2002, "On the stability of the terrestrial planets at models for exosolar planetary systems", Cel. Mech. Dyn. Astron., 83, 77-95. R.535) Contopoulos G. : 2002, "Order and Chaos in Dynamical Astronomy", Springer – Verlag, Berlin, Heidelberg. R.536) Carruba V., Burns J. A., Nicholson P. D. & Gladman B. J. : 2002, "On the inclination distribution of the Jovian irregular satellites", Icarus, 158, 434-449.

Ch. Skokos 20 25/09/21 R.537) Tsiganis K. : 2002, "Diffusion of chaotic orbits in Hamiltonian systems: Applications to Celestial Mechanics", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Thessaloniki (in Greek). R.538) Malige F.: 2001, "Stabilité effective des systèmes planétaires. Application au problème séculaire de Jupiter et Saturne", Ph.D. Thesis, Observatoire de Paris (http://www.imcce.fr/commons/files/pdf/malige_thes.pdf).

To paper P.7: Skokos Ch.: "On the stability of periodic orbits of high dimensional autonomous Hamiltonian systems", 2001, Physica D, 159, No 3-4, 155-179. R.539) Stöber J. & Bäcker A.: 2021, "Geometry of complex instability and escape in four-dimensional symplectic maps", Phys. Rev. E, 103, 042208. R.540) Cincotta P.M., Giordano C.M., Silva R.A. & Beaugé C.: 2021, "The Shannon entropy: an efficient indicator of dynamical stability", Physica D, 417, 132816. R.541) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.542) Nikolov S. & Zlatanov V.: 2019, "Dynamics of a Hamiltonian system with four degrees of freedom", Mech. Transp. Commun., 17, 1840. R.543) Antoniadou K.I. & Libert A.-S.: 2019, "Spatial resonant periodic orbits in the restricted three-body problem", MNRAS, 483, 2923-2940. R.544) Cheng Y., Gómez G., Masdemont J.J. & Yuan J.: 2018, "Analysis of the Relative Dynamics of a Charged Spacecraft Moving under the Influence of a Magnetic Field", Commun. Nnlin. Sci. Numer. Sim., 62, 307-338. R.545) Antoniadou K.I. & Voyatzis G.: 2017, "Circular periodic orbits, resonance capture and inclination excitation during type II migration" in "Proceedings of the First Greek-Austrian Workshop on Extrasolar Planetary Systems", eds. Maindl T.I., Varvoglis H. & Dvorak R., 1-20. R.546) Langer M.: 2017, "3D phase-space slices and frequency analysis for the spatial circular restricted three-body problem", M.Sc. Thesis, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden. R.547) Revuelta F., Craven G.T., Bartsch T., Borondo F., Benito R.M. & Hernandez R.: 2017, "Transition state theory for activated systems with driven anharmonic barriers", J. Chme. Phys., 147, 074104. R.548) Dena Á, Abad A. & Barrio R.: 2016, "Efficient computational approaches to obtain periodic orbits in Hamiltonian systems: application to the motion of a lunar orbiter", Celest. Mech. Dyn. Astr., 124, 51-71. R.549) Craven G. T. & Hernandez R.: 2016, "Deconstructing field-induced ketene isomerization through Lagrangian descriptors", Phys. Chem. Chem. Phys., 18, 4008-4018. R.550) Craven G.T., Bartsch T. & Hernandez R.: 2015, "Chemical reactions induced by oscillating external fields in weak thermal environments", J. Chem. Phys., 142, 074108. R.551) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized (GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa. R.552) Antoniadou K.I. : 2014, "Dynamics of planetary systems in resonances: from the planar to the spatial case", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Thessaloniki. R.553) Buono P.-L., Chan B.S., Palacios A. & In V.: 2013, "Dn symmetric Hamiltonian system: A network of coupled gyroscopes as a case study", https://arxiv.org/abs/1309.3196. R.554) Voyatzis G., Antoniadou K.I. & Tsiganis K.: 2014, "Vertical instability and inclination excitation during planetary migration", Cel. Mech. Dyn. Astron., 119, 221-235. R.555) Patsis P.A. & Katsanikas M.: 2014, "The phase space of boxy–peanut and X-shaped bulges in galaxies – I. Properties of non-periodic orbits", MNRAS, 445, 3525-3545. R.556) Richter M., Lange S. Bäcker A. & Ketzmerick R.: 2014, "Visualization and comparison of classical structures and quantum states of four-dimensional maps", Phys. Rev. E, 89, 022902. R.557) Antoniadou K.I. & Voyatzis G.: 2014, "Resonant periodic orbits in the exoplanetary systems", Astrophys. Space Sci., 349, 657-676. R.558) Allahem A.: 2014, "Numerical Investigation of Chaotic Dynamics in Multidimensional Transition States", Ph.D Thesis, Department of Mathematical Sciences, Faculty of Science, Loughborough University. R.559) Katsanikas M., Patsis P. A. & Contopoulos G: 2013, "Instabilities and stickiness in a 3D rotating galactic potential", Int. J. Bifurc. Chaos, 23, 1330005. R.560) Allahem A. & Bartsch T.: 2012, "Chaotic dynamics in multidimensional transition states", J. Chem. Phys. 137, 214310. R.561) Ito N., Küstner R. & Wimmer H.K.: 2012, "Systems of linear difference equations with bounded and robustly bounded solutions", Artif. Life Robotics, 17, 140-144. R.562) Katsanikas M.: 2012, "The structure of phase space in galactic type rotating Hamiltonian systems with three degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek).

Ch. Skokos 21 25/09/21 R.563) Ito N., Küstner R. & Wimmer H.K.: 2011, "Self–inversive matrix polynomials with semisimple spectrum on the unit circle", Operators and Matrices, 5, 495-503. R.564) Katsanikas M., Patsis P. A. & Pinotsis A. D.: 2011, "Chains of rotational tori and filamentary structures close to highmultiplicity periodic orbits in a 3D galactic potential", Int. J. Bifurc. Chaos, 21, 2331-2342. R.565) Katsanikas M., Patsis P. A. & Contopoulos G: 2011, "The structure and evolution of confined tori near a Hamiltonian Hopf Bifurcation", Int. J. Bifurc. Chaos, 21, 2321-2330. R.566) Katsanikas M. & Patsis P. A.: 2011, "The structure of invariant tori in a 3D galactic potential", Int. J. Bifurc. Chaos, 21, 467-496. R.567) Parsopoulos K.E. & Vrahatis M.N.: 2010, "Chapter 7: Applications in Dynamical Systems" in "Particle Swarm Optimization and Intelligence: Advances and Applications", 168-184, Information Science Reference, Hershey, New York. R.568) Velo A. P., Gazonas G. A. & Ameya T.: 2009, "z-Transform methods for the optimal design of one-dimensional layered elastic media", SIAM J. Appl. Math., 70, 762-788. R.569) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.570) Claussen J. C.: 2008, "Floquet stability analysis of Ott-Grebogi-Yorke and difference control", New J. Phys., 10, 063006. R.571) Merlo O. & Benet L.: 2007, "Strands and braids in narrow planetary rings: a scattering system approach", Cel. Mech. Dyn. Astron., 97, 49-72. R.572) Broucke R., Elipe A. & Riaguas A. : 2006, "On the figure-8 periodic solutions in the three-body problem", Chaos Solitons & Fractals, 30, 513-520. R.573) Gao F.: 2005, "Computing unstable period orbits of discrete chaotic system though differential evolutionary algorithms basing on elite subspace", Systems Engineering: Theory and Practice, 25(4), 96-102 (http://www.wanfangdata.com.cn/qikan/periodical.articles/xtgcllysj/xtgc2005/0504/050415.htm). R.574) Gao F. & Tong H.-Q.: 2005 "A novel extended differential evolutionary algorithm and its applications", Journal of Wuhan University (Natural Science Edition), 51(5), 547-551 (http://www.wanfangdata.com.cn/qikan/periodical.articles/whdxxb-zr/whdx2005/0505/050505.htm). R.575) Katsanikas M. : 2005, "Study of the orbits and of the structure of the phase space in galactic potentials of three degrees of freedom", M.Sc. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek). R.576) Kotoulas T. A. : 2005, "The dynamics of the 1:2 resonant motion with Neptune in the 3D elliptic restricted three-body problem", Astron. Astroph., 429, 1107-1115. R.577) Parsopoulos, K. E.: 2004, "Algorithms of computational intelligence for numerical optimization", Ph.D Thesis, Department of Mathematics, Univ. of Patras (in Greek). R.578) Merlo O.: 2004, "Through symmetry breaking to higher dimensional chaotic scattering", Ph.D. Thesis, Philosophisch-Naturwissenschaftlichen Fakultät der Universität Basel. R.579) Parsopoulos K. E. & Vrahatis M. N. : 2004, "On the computation of all global minimizers through particle swarm optimazation", IEEE Transaction Evolutionary Computation, 8 (3), 211-224. R.580) Parsopoulos K. E. & Vrahatis M. N. : 2003, "Computing periodic orbits of nondifferentiable / discontinuous mappings through Particle Swarm Optimization", IEEE Swarm Intelligence Symposium (SIS 2003), Indianapolis, USA, 34-41 (http://www.math.upatras.gr/~kostasp/papers/perorb.pdf). R.581) Dokoumetzidis A. : 2002, "Contribution to the study of heterogeneity of biopharmaceutical, pharmacokinetic and pharmacodynamic processes", Ph.D. Thesis, School of Pharmacy, Univ. of Athens (in Greek). R.582) Broucke R., Elipe A. & Riaguas A. : 2002, "On the figure-8 periodic solution in the 3-body problem", AIAA 2002-4544, AIAA/AAS Astrodynamics Specialist Conference, Monterey, California.

To paper P.8: Skokos Ch.: "Alignment indices: A new, simple method for determining the ordered or chaotic nature of orbits", 2001, J. Phys. A, 34, 10029-10043. R.583) Deng Y., Ibrahim S. & Zotos E.E.: 2021, "Numerical investigation on the Hill’s type lunar problem with homogeneous potential", Meccanica, in press. R.584) Günay B., Agarwal P., Guirao J.L.G. & Momani S.: 2021, "A Fractional Approach to a Computational Eco- Epidemiological Model with Holling Type-II Functional Response", Symmetry, 13, 1159. R.585) Ghanbari B.: 2021, "On detecting chaos in a prey-predator model with prey’s counter-attack on juvenile predators", Chaos Solit. Fract., 150, 111136. R.586) Carruba V., Aljbaae S., Domingos R.C., Huaman M. & Barletta W.: 2021, "Chaos identification through the autocorrelation function indicator (ACFI)", Cel. Mech. Dyn. Astron., 133, 38. R.587) Zotos E.E, Papadakis K.E & Wageh S.: 2021, "Mapping exomoon trajectories around Earth-like exoplanets", MNRAS, 502, 5292.

Ch. Skokos 22 25/09/21 R.588) Steklain A.F., Al-Ghamdi A. & Zotos E.E.: 2021, "Using chaos indicators to determine vaccine influence on epidemic stabilization", Phys. Rev E., 103, 032212. R.589) Han C.-D., Glaz B., Haile M. & Lai Y.-C.: 2021, "Adaptable Hamiltonian neural networks", Phys. Rev. Res., 3, 023156. R.590) Dubeibe F.L., Saeed T. & Zotos E.E.: 2021, "Effect of multipole moments in the weak field limit of a black hole plus halo potential", Astroph. J., 908, 74. R.591) De S., Roychowdhury S. & Banerjee R.: 2021, "Beyond-Newtonian dynamics of a planar circular restricted three-body problem with Kerr-like primaries", MNRAS, 501, 713. R.592) Chatar W., Kharbach J., Benkhali M., El Ghamari M., Benmalek M., Rezzouka A. & Ouazzani-Jamil M.: 2021, "Painlevé’s analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential", Phys. Lett. A, 401, 127331. R.593) Bhardwaj B. & Bangia A.: 2021, "Dynamical indicator of human body’s physical endurance", Nepal J. Math. Sci., 2, 25. R.594) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.595) Hillebrand M.: 2021, "Chaotic dynamics of polyatomic systems with an emphasis on DNA ", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2102.11020). R.596) Zotos E.E., Chen W., Suraj M.S., Aggarwal R. & Kaur C.: 2020, "Revealing the escape dynamics in a Hamiltonian system with five exits", J. Nonlin. Mod. Anal., 2, 551-564. R.597) Zotos E.E., Chen W., Navarro J.F. & Saeed T.: 2020, "A new formulation of a Hénon–Heiles potential with additional singular gravitational terms", Int. J. Bifurc. Chaos, 30, 2050197. R.598) Zotos E.E., Dubeibe F.L., Steklain A.F. & Saeed T.: 2020, "Orbit classification in a disk galaxy model with a pseudo-Newtonian central black hole", A&A, 643, A33. R.599) Sander E. & Meiss J.D.: 2020, "Birkhoff averages and rotational invariant circles for area-preserving maps", Physica D, 411, 132569. R.600) Giata O.: 2020, "Periodic solutions and chaotic dynamics in a Duffing equation model of charged particles", Ph.D. Thesis, Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università degli Studi di Udine, Italy. R.601) Dubeibe F.L., Zotos E.E. & Chen W.: 2020, "On the dynamics of a seventh-order generalized Hénon-Heiles potential", Results Phys., 18, 103278. R.602) Dubeibe F.L., Pulido V. & Zotos E.: 2020, "Dinámica orbital para una perturbación exacta de agujero negro con límite clásico tipo Hénon-Heiles", CICI 2020 3er Congreso Internacional de Ciencias Básicas e Ingeniería (Villavicencio, Colombia), paper 19. R.603) Karmakar S. & Keshavamurthy S.: 2020, "Intramolecular vibrational energy redistribution and the quantum ergodicity transition: a phase space perspective", Phys. Chem. Chem. Phys., 22, 11139. R.604) Choudhary A., Lindner J.F., Holliday E.G., Miller S.T., Sinha S. & Ditto W.L.: 2020, "Physics-enhanced neural networks learn order and chaos", Phys. Rev. E, 101, 062207. R.605) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.606) Zotos E.E.: 2020, "Orbital analysis in the planar circular Copenhagen problem using polar coordinates", Math. Meth. Appl. Sci., 43, 2020-2031. R.607) González-Férez R., Iñarrea M., Pablo Salas J. & Schmelcher P.: 2020, "Nonlinear dynamics and energy transfer for two rotating dipoles in an external field: A complete dimensional analysis", Commun. Nonlin. Sci. Num. Simul., 82, 105049. R.608) Zotos E.E. & Veras D.: 2020, "The grain size survival threshold in one-planet post-main-sequence exoplanetary systems", A&A, 637, A14. R.609) Zotos E.E., Qi Y., Steklain A.F. & Saeed T.: 2020, "Determining the nature of motion around Jupiter-like exoplanets using the elliptic restricted three-body problem", Plan. Space Sci., 187, 104945. R.610) Zotos E.E., Érdi B., Saeed T. & Alhodaly M.Sh.: 2020, "Orbit classification in exoplanetary systems", A&A, 634, A60. R.611) Zotos E.E.: 2020, "Orbit Taxonomy in an Electromagnetic Binary System of Two Magnetic Dipoles", Int. J. Bifurc. Chaos, 30, 2030011. R.612) Roque T.F., Marquardt F. & Yevtushenko O.M.: 2020, "Nonlinear dynamics of weakly dissipative optomechanical systems", New J. Phys., 22, 013049. R.613) Ma D.-Z., Zhang D., Fu G. & Wu J.-P.: 2020, "Chaotic dynamics of string around charged black brane with hyperscaling violation", J. High En. Phys., 103. R.614) Zotos E.E.& Jung C.: 2020, "A three-dimensional dynamical model for double-barred galaxies, escape dynamics and the role of the NHIMs", Comm. Nonlin.Sci. Num. Simul., 80, 104989.

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To paper P.10: Skokos Ch., Patsis P. A. & Athanassoula E.: "Orbital dynamics of three-dimensional bars - II. Investigation of the parameter space", 2002, MNRAS, 333, 861-870. R.936) Ciambur B.C., Fragkoudi F., Khoperskov S., Di Matteo P. & Combes F.: 2021, "Double X/Peanut structures in barred galaxies – insights from an N-body simulation", MNRAS, 503, 2203. R.937) Smirnov A.A, Tikhonenko I.S. & Sotnikova N. Ya.: 2021, "Face-on structure of barlenses and boxy bars: an insight from spectral dynamics", MNRAS, 502, 4689. R.938) Chatar W., Kharbach J., Benkhali M., El Ghamari M., Benmalek M., Rezzouka A. & Ouazzani-Jamil M.: 2021, "Painlevé’s analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential", Phys. Lett. A, 401, 127331. R.939) Neumann J.: 2020, "Secular Evolution in Galaxies: Properties of Bars and Bulges as seen with Integral Field Spectroscopy", Ph.D. Thesis, Institut für Physik und Astronomie der Universität Potsdam, Germany. R.940) Neumann J., Fragkoudi F., Pérez I., Gadotti D.A., Falcón-Barroso J., Sánchez-Blázquez P., Bittner A., Husemann B., Gómez F.A., Grand R.J.J., Donohoe-Keyes C.E., Kim T., de Lorenzo-Cáceres A., Martig M., Méndez-Abreu J., Pakmor R., Seidel M.K. & van de Ven G.: 2020, "Stellar populations across galaxy bars in the MUSE TIMER project", A&A, 637, A56. R.941) Chaves-Velasquez L.L.: 2019, "Stellar Orbital Dynamics of Disk Galaxies: I Bars, II Spiral Arms", Ph.D. Thesis, Instituto Nacional de Astrofísica, Óptica y Electrónica, Puebla, Mexico. R.942) Taani A, Abushattal A & Mardini M.K.: 2019, "The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems", Astron. Nachr., 340, 847–851. R.943) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2019, "Chaos in growing bar models", Rev. Mexic. Astron. Astrof., 55, 321-335. R.944) Neumann J., Gadotti D.A., Wisotzki L., Husemann B., Busch G., Combes F., Croom S.M., Davis T.A., Gaspari M., Krumpe M., Pérez-Torres M.A., Scharwächter J., Smirnova-Pinchukova I., Tremblay G.R. & Urrutia T.: 2019, "The Close AGN Reference Survey (CARS) Comparative analysis of the structural properties of star- forming and non-star-forming galaxy bars", A&A, 627, A26. R.945) Lee Y.H., Ann H.B. & Park M.-G.: 2019, "Bar fraction in Early- and Late-type spirals", Astroph. J., 872, 97.

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Ch. Skokos 40 25/09/21 R.1080) Dubinski J., Berentzen I. & Shlosman I.: 2009, "Anatomy of the bar instability in cuspy dark matter halos", Astroph. J., 697, 293-310. R.1081) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.1082) Ciotti L. & Marinacci F.: 2008, "Exact density-potential pairs from complex shifted axisymmetric systems", MNRAS, 387, 1117-1125. R.1083) Rattenbury N. J., Mao S., Sumi T. & Smith M. C. : 2007, "Modeling the galactic bar using OGLE-II red clump giant stars", MNRAS, 378, 1064-1078. R.1084) Berentzen I., Shlosman I., Martinez-Valpuestra I. & Heller C. H.: 2007, "Gas feedback on stellar bar evolution", Astroph. J., 666, 189-200. R.1085) Aronica G. A.: 2006, "The vertical structure of thickened bars in disk galaxies", Ph.D. Thesis, Ruhr- Universität Bochum. R.1086) Romero-Gómez M.: 2006, "The role of invariant manifolds in the formation of spiral arms and rings in barred galaxies", Ph.D. Thesis, Universitat Politècnica de Catalunya. R.1087) Michel-Dansac L. & Wozniak H.: 2006, "The length of stellar bars in SB galaxies and N-body simulations", Astron. Astroph., 452, 97-112. R.1088) Martinez-Valpuestra I., Shlosman I. & Heller C.: 2006, "Evolution of stellar bars in live axisymmetric halos: recurrent buckling and secular growth", Astroph. J.,637, 214-226. R.1089) Katsanikas M. : 2005, "Study of the orbits and of the structure of the phase space in galactic potentials of three degrees of freedom", M.Sc. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek). R.1090) Jourdeuil E.: 2005, "N-corps évolutif pour la modélisation photométrique et dynamique des galaxies de type précoce", Ph.D. Thesis, Univ. Claude Bernard – Lyon 1 (in French). R.1091) Debattista V. P., Carollo C. M., Mayer L. & Moore B.: 2005, "The kinematic signature of face-on peanut- shaped bulges", Astroph. J., 628, 678-694. R.1092) Martinez-Valpuestra I. & Shlosman I.: 2005, "Secular and dynamical evolution of galactic bars", in "Evolution of Starbursts", eds. Hüttenmeister S., Manthey E., Bomans D. & Weis K., AIP Conference Proceedings, Vol. 738, 189-195. R.1093) Martinez-Valpuestra I. & Shlosman I.: 2004, "Why do buckling stellar bars weaken in disk galaxies", Astroph. J., 613, L29-L32. R.1094) Chung A. & Bureau M.: 2004, "Stellar kinematics of boxy bulges: large-scale bars and inner disks", Astron. J., 127, 3192-3212. R.1095) Lütticke R., Pohlen M. & Dettmar R.-J.: 2004, "Box- and peanut-shaped bulges III. A new class of bulges: Thick Boxy Bulges", Astron. Astroph., 417, 527-539. R.1096) Pohlen M., Balcells M., Lütticke R. & Dettmar R.-J.: 2003, "Evidence for a large stellar bar in the low surface brightness galaxy UGC 7321", Astron. Astroph., 409, 485-490. R.1097) Berentzen I.: 2003, "Interactions with gas-rich barred galaxies", Ph.D. Thesis, Mathematisch- Naturwissenschaftlichen Fakultäten, Georg-August-Universität zu Göttingen (http://webdoc.sub.gwdg.de/diss/2003/berentzen/berentzen.pdf).

To paper P.13: Polymilis C., Servizi G., Skokos Ch., Turchetti G. & Vrahatis M. N. : 2003, "Topological degree theory and local analysis of area preserving maps" Chaos, 13, 1, 94-104. R.1098) Pontin D. I., Candelaresi S., Russell A. J. B. & Hornig G.: 2016, "Braided magnetic fields: equilibria, relaxation and heating", Plasma Phys. Control. Fusion, 58, 054008. R.1099) Dena Á, Abad A. & Barrio R.: 2016, "Efficient computational approaches to obtain periodic orbits in Hamiltonian systems: application to the motion of a lunar orbiter", Celest. Mech. Dyn. Astr., 124, 51-71. R.1100) Yeates A.R., Russell A.J.B. & Hornig G.: 2015, "Physical role of topological constraints in localized magnetic relaxation", Proc. R. Soc. A, 471, 20150012. R.1101) Wilmot-Smith A.L., Pontin D.I., Yeates A.R. & Hornig G.: 2011, "Heating of braided coronal loops", Astron. Astroph., 536, A67. R.1102) Yeates A.R. & Hornig G.: 2011, "A generalized flux function for three-dimensional magnetic reconnection", Phys. Plasmas, 18, 102118. R.1103) Yeates A.R. & Hornig G.: 2011, "Dynamical constraints from field line topology in magnetic flux tubes", J. Phys. A: Math. Theor., 44, 265501. R.1104) Yeates A.R., Hornig G.& Wilmot-Smith A. L.: 2010, "Topological Constraints on Magnetic Relaxation", Phys. Rev. Let., 105, 085005. R.1105) Campos J. & Ortega R.: 2008, "Location of fixed points and periodic solutions in the plane", Disc. Cont. Dyn. Syst. B, 9, 517-523.

Ch. Skokos 41 25/09/21 R.1106) Dorelli J.C., Bhattacharjee A. & Raeder J.: 2007, "Separator reconnection at Earth’s dayside magnetopause under generic northward interplanetary magnetic field conditions", J. Geophysical Research, 112, A02202. R.1107) Dorelli J.C., Bhattacharjee A. & Raeder J.: 2006, "Tracking magnetic nulls in a simulated magnetosphere", in "Numerical modelling of space plasma flows", eds. Pogorelov N. V. & Zank G. P., ASP Conf. Series, 359, 131- 136. R.1108) Lunedei E.: 2006, "Ricorrenze di Poincaré in sistemi dinamici a bassa dimensionalità", Ph.D. Thesis, Dipartimento di Fisica, Univ. degli studi di Bologna (in Italian). R.1109) Kouptsov K. L. : 2004, "Interval propagation method for finding trajectories of chaotic maps", J. Phys. A, 37, 6491-6506.

To paper P.14: Patsis P. A., Skokos Ch. & Athanassoula E.: "Orbital dynamics of three-dimensional bars - IV. Boxy isophotes in face-on views", 2003, MNRAS, 342, 69-78. R.1110) López-Corredoira M., Lee Y.-W., Garzón & Lim D.: 2019, "Distribution of red clump stars does not support the X-shaped Galactic bulge", A&A, 627, A3. R.1111) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2019, "Chaos in growing bar models", Rev. Mexic. Astron. Astrof., 55, 321-335. R.1112) Sánchez-Martín P., Masdemont J.J. & Romero-Gómez M.: 2018, "From manifolds to Lagrangian coherent structures in galactic bar models", A&A, 618, A72. R.1113) Méndez-Abreu J., Costantin L., Aguerri J.A.L., de Lorenzo-Cáceres A. & Corsini E.M.: 2018, "The intrinsic three-dimensional shape of galactic bars", MNRAS, 479, 4172-4186. R.1114) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2018, "The Smaller Alignment Index (SALI) applied in a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60. R.1115) Li Z.-Y., Shen J., Bureau M., Zhou Y., Du M. & Debattista V.P.: 2018, "Shape of LOSVDs in Barred Disks: Implications for Future IFU Surveys", Astroph. J., 854, 65. R.1116) López-Corredoira M.: 2018, "Absence of an X-shaped Structure in the Milky Way Bulge Using Mira Variable Stars", Astroph. J., 836, 218. R.1117) Du M., Shen J., Debattista V.P. & de Lorenzo-Cáceres A.: 2017, "Orthogonal vertical velocity dispersion distributions produced by bars", Astroph. J., 836, 181. R.1118) Valluri M., Shen J., Abbott C. & Debattista V.P.: 2016, "A unified framework for the orbital structure of bars and triaxial ellipsoids", Astroph. J., 818, 141. R.1119) Sánchez-Martín P.: 2015, "Application of Dynamical System Methods to Galactic Dynamics: from Warps to Double Bars", Ph.D. Thesis, Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya. R.1120) Romero-Gómez M., Sánchez-Martín P. & Masdemont J.J.: 2014, "Com les varietats invariants formen espirals i anells en galàxies barrades", Butlletí de la Societat Catalana de Matemàtiques, 29, 51-75. R.1121) Li Z.-Y. & Shen J.: 2012, "The vertical X-shaped structure in the Milky Way: evidence from a simple boxy bulge model", Astroph. J. Let., 757, L7. R.1122) Katsanikas M.: 2012, "The structure of phase space in galactic type rotating Hamiltonian systems with three degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek). R.1123) Bountis T., Manos T. & Antonopoulos Ch.: 2012, "Complex statistics in Hamiltonian barred galaxy models", Cel. Mech. Dyn. Astron., 113, 63-80. R.1124) Parsopoulos K.E. & Vrahatis M.N.: 2010, "Chapter 7: Applications in Dynamical Systems" in "Particle Swarm Optimization and Intelligence: Advances and Applications", 168-184, Information Science Reference, Hershey, New York. R.1125) Maciejewski W. & Small E. E.: 2010, "Orbital support of fast and slow inner bars in double barred galaxies", Astroph. J., 719, 622. R.1126) Harsoula M. & Kalapotharakos C.: 2009, "Orbital structure in N-body models of barred-spiral galaxies", MNRAS, 394, 1605-1619. R.1127) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.1128) Gadotti D. A.: 2008, "Image Decomposition of Barred Galaxies and AGN Hosts", MNRAS, 384, 420-439. R.1129) Aronica G. A.: 2006, "The vertical structure of thickened bars in disk galaxies", Ph.D. Thesis, Ruhr- Universität Bochum. R.1130) Romero-Gómez M.: 2006, "The role of invariant manifolds in the formation of spiral arms and rings in barred galaxies", Ph.D. Thesis, Universitat Politècnica de Catalunya. R.1131) Chakrabarty D.: 2004, "Patterns in the outer parts of galactic disks", MNRAS, 352, 427-439. R.1132) Chung A. & Bureau M.: 2004, "Stellar kinematics of boxy bulges: large-scale bars and inner disks", Astron. J., 127, 3192-3212.

Ch. Skokos 42 25/09/21 R.1133) Boonyasait V. : 2003, "Structures and dynamics of NGC 3359: Observational and theoretical studies of a barred spiral galaxy", Ph. D. Thesis, University of Florida. R.1134) Berentzen I.: 2003, "Interactions with gas-rich barred galaxies", Ph.D. Thesis, Mathematisch- Naturwissenschaftlichen Fakultäten, Georg-August-Universität zu Göttingen (http://webdoc.sub.gwdg.de/diss/2003/berentzen/berentzen.pdf).

To paper P.15: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2003, "How does the Smaller Alignment Index (SALI) distinguish order from chaos?", Prog. Theor. Phys. Supp., 150, 439-443. R.1135) Günay B., Agarwal P., Guirao J.L.G. & Momani S.: 2021, "A Fractional Approach to a Computational Eco- Epidemiological Model with Holling Type-II Functional Response", Symmetry, 13, 1159. R.1136) Ghanbari B.: 2021, "On detecting chaos in a prey-predator model with prey’s counter-attack on juvenile predators", Chaos Solit. Fract., 150, 111136. R.1137) Carruba V., Aljbaae S., Domingos R.C., Huaman M. & Barletta W.: 2021, "Chaos identification through the autocorrelation function indicator (ACFI)", Cel. Mech. Dyn. Astron., 133, 38. R.1138) Chatar W., Kharbach J., Benkhali M., El Ghamari M., Benmalek M., Rezzouka A. & Ouazzani-Jamil M.: 2021, "Painlevé’s analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential", Phys. Lett. A, 401, 127331. R.1139) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.1140) Mestre M., Llinares C. & Carpintero D.D.: 2020, "Effects of chaos on the detectability of stellar streams", MNRAS, 492, 4398–4408. R.1141) Chaves-Velasquez L.L.: 2019, "Stellar Orbital Dynamics of Disk Galaxies: I Bars, II Spiral Arms", Ph.D. Thesis, Instituto Nacional de Astrofísica, Óptica y Electrónica, Puebla, Mexico. R.1142) Taani A, Abushattal A & Mardini M.K.: 2019, "The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems", Astron. Nachr., 340, 847–851. R.1143) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2019, "Chaos in growing bar models", Rev. Mexic. Astron. Astrof., 55, 321-335. R.1144) He S., Sun K. & Peng Y.: 2019, "Detecting chaos in fractional-order nonlinear systems using the smaller alignment index", Phys. Lett. A, 383, 2267-2271. R.1145) Vozikis C., Kleidis K. & Papaioannou S.: 2018, "The power spectrum indicator: A new, efficient method for the early detection of chaos", nlin.CD/1808.00223. R.1146) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2018, "The Smaller Alignment Index (SALI) applied in a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60. R.1147) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2017, "Using the SALI Method to Distinguish Chaotic and Regular Orbits in Barred Galaxies with the LP-VIcode Program", Prog. Phys., 13, 161-165. R.1148) Kumar V., Gupta B.R. & Aggarwal R: 2016, "Numerical investigation of a star’s trajectory in binary quasar system", Adv. Stud. Contemp. Math., 26, 385-399. R.1149) Nestler S.: 2016, "Adapting the SALI/GALI Method to Kauffman Networks", B.Sc. Thesis, Complex Systems Lab, Institute for Theoretical Physics, University of Bremen, Germany. R.1150) Sanders J.L. & Evans N.W.: 2015, "Self-consistent triaxial models", MNRAS, 454, 299-314. R.1151) Benitez P., Losada J. C., Benito R. M., Borondo F.: 2015, "Using the small alignment index chaos indicator to characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918. R.1152) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem", Astron. Nachr., 335, 877-885. R.1153) Karanis G.I : 2012, "Simulations of star motion in galactic models and their connection to the inverse problem of dynamics ", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Thessaloniki (in Greek). R.1154) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642. R.1155) Hinse T.C., Christou A.A., Alvarellos J.L.A. & Goździewski K.: 2010, "Application of the MEGNO technique to the dynamics of Jovian irregular satellites", MNRAS, 404, 837-857. R.1156) Christodoulidi H.: 2009, "Dynamics of low dimensional tori and chaos in many degrees of freedom Hamiltonian systems", Ph.D Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras (in Greek). R.1157) Manos T. & Athanassoula E.: 2009, "Dynamical study of 2D and 3D barred galaxy models", in " Chaos in Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer- Verlag, 115-122. R.1158) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras.

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To paper P.16: Patsis P. A., Skokos Ch. & Athanassoula E. : 2003, "On the 3D dynamics and morphology of inner rings", MNRAS, 346, 1031-1040. R.1167) Dottori H., Díaz R.J., Grosbøl P., Bueno A. & Gimeno G.: 2021, "The Population of H II Regions in NGC 7020", Astron. J., 161, 191. R.1168) Abdeen S., Kennefick D, Kennefick J., Miller R., Shields D.W., Monson E.B. & Davis B.L.: 2020, "Determining the co-rotation radii of spiral galaxies using spiral arm pitch angle measurements at multiple wavelengths", MNRAS, 496, 1610-1619. R.1169) Garma-Oehmichen L., Cano-Díaz M., Hernández-Toledo H., Aquino-Ortíz E., Valenzuela O., Aguerri J.A.L., Sánchez S.F. & Merrifield M.: 2020, "SDSS-IV MaNGA: Bar pattern speed estimates with the Tremaine- Weinberg method and their error sources", MNRAS, 491, 3655–3671. R.1170) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2018, "The Smaller Alignment Index (SALI) applied in a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60. R.1171) Sierra A.D.,Seigar M.S., Treuthardt T. & Puerari I.: 2015: "Determination of resonance locations in barred spiral galaxies using multiband photometry", MNRAS, 450, 1799-1811. R.1172) Piñol-Ferrer N.: 2013, "Rearrangement of gas in disc galaxies", Ph.D. Thesis, Department of Astronomy, Stockholm University. R.1173) Karanis G.I : 2012, "Simulations of star motion in galactic models and their connection to the inverse problem of dynamics ", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Thessaloniki (in Greek). R.1174) Bountis T., Manos T. & Antonopoulos Ch.: 2012, "Complex statistics in Hamiltonian barred galaxy models", Cel. Mech. Dyn. Astron., 113, 63-80. R.1175) Parsopoulos K.E. & Vrahatis M.N.: 2010, "Chapter 7: Applications in Dynamical Systems" in "Particle Swarm Optimization and Intelligence: Advances and Applications", 168-184, Information Science Reference, Hershey, New York. R.1176) Harsoula M. & Kalapotharakos C.: 2009, "Orbital structure in N-body models of barred-spiral galaxies", MNRAS, 394, 1605-1619. R.1177) Gadotti D. A.: 2009, "Barred Galaxies: an Observer's Perspective", in " Chaos in Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer-Verlag, 159-172. R.1178) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.1179) Binney J. & Tremaine S.: 2008, "Galactic Dynamics", Second Edition, Princeton Univ. Press. R.1180) Lin L-H., Yuan C. & Buta R.: 2008, "Hydrodynamical simulations of the barred spiral galaxy NGC 6782", Astroph. J., 684, 1048-1061. R.1181) Rautiainen P., Salo H. & Lautikainen E.: 2008, "Model-based pattern speed estimates for 38 barred galaxies", MNRAS, 388,1803-1818. R.1182) Buta R. J., Corwin H. G. Jr, & Odewahn S. C.: 2007, "The de Vaucouleures atlas of galaxies", Cambridge University Press.

Ch. Skokos 44 25/09/21 R.1183) Jeong H., Bureau M., Yi S. K., Krajnović D. & Davies R. L.: 2007, "Star formation and figure rotation in the early-type galaxy NGC2974", MNRAS, 376, 1021-1032. R.1184) Byrd G. G., Freeman T. & Buta R. J. : 2006, "The inner resonance ring of NGC 3081. II. Star formation, bar strength, disk surface mass density, and mass-to-light ratio", Astron. J., 131, 1377-1393. R.1185) Griv E. : 2005, "Origin of the Cartwheel galaxy: Disk instability?", Asroph. Sp. Sc., 299, 371-385. R.1186) Boonyasait V. : 2003, "Structures and dynamics of NGC 3359: Observational and theoretical studies of a barred spiral galaxy", Ph. D. Thesis, University of Florida.

To paper P.17: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2004, "Detecting order and chaos in Hamiltonian systems by the SALI method", J. Phys. A, 37, 6269-6284. R.1187) Karmakar S. & Keshavamurthy S.: 2021, "Arnold web and dynamical tunneling in a four-site Bose–Hubbard model", Physica D, 427, 133006. R.1188) Günay B., Agarwal P., Guirao J.L.G. & Momani S.: 2021, "A Fractional Approach to a Computational Eco- Epidemiological Model with Holling Type-II Functional Response", Symmetry, 13, 1159. R.1189) Ghanbari B.: 2021, "On detecting chaos in a prey-predator model with prey’s counter-attack on juvenile predators", Chaos Solit. Fract., 150, 111136. R.1190) Carruba V., Aljbaae S., Domingos R.C., Huaman M. & Barletta W.: 2021, "Chaos identification through the autocorrelation function indicator (ACFI)", Cel. Mech. Dyn. Astron., 133, 38. R.1191) Dubeibe F.L., Saeed T. & Zotos E.E.: 2021, "Effect of multipole moments in the weak field limit of a black hole plus halo potential", Astroph. J., 908, 74. R.1192) Chatar W., Kharbach J., Benkhali M., El Ghamari M., Benmalek M., Rezzouka A. & Ouazzani-Jamil M.: 2021, "Painlevé’s analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential", Phys. Lett. A, 401, 127331. R.1193) Bhardwaj B. & Bangia A.: 2021, "Dynamical indicator of human body’s physical endurance", Nepal J. Math. Sci., 2, 25. R.1194) Zotos E.E., Dubeibe F.L., Steklain A.F. & Saeed T.: 2020, "Orbit classification in a disk galaxy model with a pseudo-Newtonian central black hole", A&A, 643, A33. R.1195) El Fakkousy I., Kharbach J., Chatar W., Benkhali M., Rezzouk A. & Ouazzani-Jamil M.: 2020, "Liouvillian integrability of the three-dimensional generalized Hénon–Heiles Hamiltonian", Eur. Phys. J. Plus, 135, 612. R.1196) Dabrowski A., Balcerzak M., Pikunov D. & Stefanski A.: 2020, "Improving efficiency of the largest Lyapunov exponent’s estimation by its determination from the vector field properties", Nonlin. Dyn., 102, 1869–1880. R.1197) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.1198) González-Férez R., Iñarrea M., Pablo Salas J. & Schmelcher P.: 2020, "Nonlinear dynamics and energy transfer for two rotating dipoles in an external field: A complete dimensional analysis", Commun. Nonlin. Sci. Num. Simul., 82, 105049. R.1199) Roque T.F., Marquardt F. & Yevtushenko O.M.: 2020, "Nonlinear dynamics of weakly dissipative optomechanical systems", New J. Phys., 22, 013049. R.1200) Mestre M., Llinares C. & Carpintero D.D.: 2020, "Effects of chaos on the detectability of stellar streams", MNRAS, 492, 4398–4408. R.1201) Ma D.-Z., Zhang D., Fu G. & Wu J.-P.: 2020, "Chaotic dynamics of string around charged black brane with hyperscaling violation", J. High En. Phys., 103. R.1202) Zotos E.E.& Jung C.: 2020, "A three-dimensional dynamical model for double-barred galaxies, escape dynamics and the role of the NHIMs", Comm. Nonlin.Sci. Num. Simul., 80, 104989. R.1203) Chaves-Velasquez L.L.: 2019, "Stellar Orbital Dynamics of Disk Galaxies: I Bars, II Spiral Arms", Ph.D. Thesis, Instituto Nacional de Astrofísica, Óptica y Electrónica, Puebla, Mexico. R.1204) Taani A, Abushattal A & Mardini M.K.: 2019, "The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems", Astron. Nachr., 340, 847–851. R.1205) Lopez-Pina A.: 2019, "A control approach to complexity: from molecular vibrational dynamics to competition games on networks", Ph.D. Thesis, Universidad Politécnica de Madrid. R.1206) Turchetti G. & Panichi F.: 2019, "Fast Indicators for Orbital Stability: A Survey on Lyapunov and Reversibility Errors", Chapter 10 in "Progress in Relativity", IntechOpen (https://www.intechopen.com/books/progress-in-relativity/fast-indicators-for-orbital-stability-a-survey-on- lyapunov-and-reversibility-errors). R.1207) Deleanu D.: 2019, "Indicatori ai teoriei haosului", Editura NAUTICA, ISBN 978-606-681-127-9 (in Romanian). R.1208) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2019, "Chaos in growing bar models", Rev. Mexic. Astron. Astrof., 55, 321-335. R.1209) He S., Sun K. & Peng Y.: 2019, "Detecting chaos in fractional-order nonlinear systems using the smaller alignment index", Phys. Lett. A, 383, 2267-2271.

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Ch. Skokos 48 25/09/21 R.1292) de Assis L. P. G., Helayël-Neto J. A., Haas F. & Nogueira A. L. M. A. : 2006, "On the Integrability and Chaos of an N=2 Maxwell-Chern-Simons-Higgs Mechanical Model", Fifth International Conference on Mathematical Methods in Physics – IC2006, Proceedings of Science, PoS(IC2006)059, http://pos.sissa.it/cgi- bin/reader/conf.cgi?confid=31. R.1293) Manos T. & Athanassoula E.: 2005, "Detecting chaotic and ordered motion in barred galaxies", in ‘SF2A- 2005: Semaine de l’ Astrophysique Française’, eds. Casoli F., Contini T., Hameury J.M. & Pagani L., EDP- Sciences, Conference Series, 631-632. R.1294) de Assis L. P. G. : 2005, "Caos e integrabilidade em teorias com supersimetria", Ph.D Thesis, Centro Brasileiro de Pesquisas Físicas-CBPF, Rio de Janeiro (in Portuguese) (http://mesonpi.cat.cbpf.br/cbpfindex/publication_pdfs/TesisDocM.2006_03_03_10_39_38.pdf). R.1295) Wu X. & Huang T. : 2005, "Several diagnostic indexes for orbital chaos", Progress in Astronomy, 23, 4, 318- 330 (in Chinese). R.1296) Gemmeke J. F. : "Detecting chaotic orbits in N-body simulations", M.Sc. Thesis, Faculteit der Natuurwetenschappen, Wiskunde en Informatica, Universiteit van Amsterdam, (http://staff.science.uva.nl/~spz/act/students/JortGemmeke.pdf). R.1297) Barrio R.: 2005, "Sensitivity tools vs. Poincaré sections", Chaos Solitons & Fractals, 25, 3, 711-726. R.1298) Manos Th. : 2004, "Regular and chaotic dynamics of multi degrees of freedom Hamiltonian systems", M.Sc. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras, http://master.math.upatras.gr/~thanosm/Master%20Thesis.htm, (in Greek).

To paper P.18: Panagopoulos P., Bountis T. C. & Skokos Ch. : 2004, "Existence and stability of localized oscillations in 1-dimensional lattices with soft spring and hard spring potentials", J. Vibration & Acoustics, 126, 520-527. R.1299) Zholmaganbetova A.: 2019, "The Dynamics of Hamiltonian Lattices With Application to Hollomon Oscillators". M.Sc. Thesis, Nazarbayev University, Kazakhstan. R.1300) Benitez P., Losada J. C., Benito R. M., Borondo F.: 2015, "Using the small alignment index chaos indicator to characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918. R.1301) Romeo F. & Rega G.: 2015, "Periodic and localized solutions in chains of oscillators with softening or hardening cubic nonlinearity", Meccanica, 50, 721-730. R.1302) Romeo F. & Rega G.: 2013, "On localized solutions of chains of oscillators with cubic nonlinearity", XXI Congresso Associazione Italiana di Meccanica Toerica e Applicata, CDROM proceedings, http://www.aimetatorino2013.it/cdrom/cdrom_pdf_fullpaper/001560012101.pdf . R.1303) Lazarides N. & Tsironis G. P.: 2012, "Intrinsic localization in nonlinear and superconducting metamaterials", in "Metamaterials VII", eds. Boardman A. D.; Johnson N. P.; Ziolkowski R.W., Proc. of SPIE, Vol. 8423, 84231K. R.1304) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642. R.1305) Koukouloyannis V. & Kourakis I.: 2009, "Discrete breathers in hexagonal dusty plasma lattices", Phys. Rev. E, 80, 026402. R.1306) Manos T. & Athanassoula E.: 2009, "Dynamical study of 2D and 3D barred galaxy models", in " Chaos in Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer- Verlag, 115-122. R.1307) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.1308) Lazarides N., Tsironis G. P. & Eleftheriou M.: 2008, "Dissipative discrete breathers in rf SQUID metamaterials", Nonlin. Phenom. Complex Syst., 11, 250-258. R.1309) Koukouloyannis V. & Kourakis I.: 2007, "Existence of multisite intrinsic localized modes in one-dimensional Debye crystals", Phys. Rev. E, 76, 016402. R.1310) Antonopoulos Ch.: 2007, "Stability and chaos in Hamiltonian systems of many degrees of freedom: from classical to statistical mechanics", Ph.D. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras (in Greek). R.1311) Manos T. & Athanassoula E.: 2006, "Barred Galaxies: Studying the chaotic and ordered nature of orbits", in "Recent Advances in Astronomy and Astrophysics: 7th International Conference of the Hellenic Astronomical Society", ed. Solomos N., AIP Conference Proceedings, Vol. 848, 662-668.

To paper P.19: Skokos Ch., Parsopoulos K. E., Patsis P. A. & Vrahatis M. N. : 2005, "Particle Swarm Optimization: An efficient method for tracing periodic orbits in 3D galactic potentials", MNRAS, 359, 251-260. R.1312) Matsushita H., Kurokawa H. & Kousaka T.: 2019, "Saddle-node bifurcation parameter detection strategy with nested-layer particle swarm optimization", Chaos Solit. Fractals, 119, 126-134.

Ch. Skokos 49 25/09/21 R.1313) Michimura Y., Komori K., Nishizawa A., Takeda H., Nagano K., Enomoto Y., Hayama K., Somiya K. & Masaki Ando M.: 2018, "Particle swarm optimization of the sensitivity of a cryogenic gravitational wave detector", Phys. Rev. D, 97, 122003. R.1314) Matsushita H., Tomimura Y., Kurokawa H. & Kousaka T.: 2017, "Period Doubling Bifurcation Point Detection Strategy with Nested Layer Particle Swarm Optimization", Int. J. Bifurc. Chaos, 27, 1750101. R.1315) Islam S.R., Arifuzzaman Md. & Parvez N.: 2016, "An Alternative Model of Aggregate Production Planning for Cement Company: Solving with Particle Swarm Optimization", Proceedings of 14th Asian Business Research Conference, 30 - 31 December, 2016, BIAM Foundation, Dhaka, Bangladesh, ISBN: 978-1-925488-26-5. R.1316) Dena Á, Abad A. & Barrio R.: 2016, "Efficient computational approaches to obtain periodic orbits in Hamiltonian systems: application to the motion of a lunar orbiter", Celest. Mech. Dyn. Astr., 124, 51-71. R.1317) Prasad J.: 2014, "Revisiting Cosmological parameter estimation", https://arxiv.org/abs/1412.3298. R.1318) Ruiz A.N., Cora S.A, Padilla N.D., Domínguez M.J., Tecce T.E., Orsi Á, Yaryura Y.C., Lambas D.G., Gargiulo I.D. & Arancibia A.M.M.: 2015, "Calibration of semi-analytic models of galaxy formation using particle swarm optimization", Astroph. J, 801, 139. R.1319) Wang S.-C. & Yeh M.-F.: 2014, "A modified particle swarm optimization for aggregate production planning", Exp. Syst. Appl., 41, 3069-3077. R.1320) Shirvany Y.: 2013, "Non-invasive EEG Functional Neuroimaging for Localizing Epileptic Brain Activity", Ph.D Thesis, Department of Signals and Systems, Chalmers University of Technology, Göteborg, Sweden. R.1321) Taylor S.R., Gair J.R. & Lentati L.: 2012, "Using swarm intelligence to accelerate pulsar timing analysis", https://arxiv.org/abs/1210.3489. R.1322) Prasad J. & Souradeep T.: 2012, "Cosmological parameter estimation using Particle Swarm Optimization (PSO)", Phys. Rev. D, 85, 123008. R.1323) Gao F., Qi Y. & Xiao J.: 2010, "A novel Particle Swarm Optimization with special boundaries restriction strategy", in "Proceedings of the 2nd International Conference on Information Science and Engineering, ICISE2010", 5689056, 916-919. R.1324) Shi Z. & Zhou C-L.: 2007, "Fissure Extraction and Analysis of Image of Tongue", Comp. Tech, Devel., 17, 245-249 (in Chinese). R.1325) Elson E. C., Bassett B. A., van der Heyden K. & Vilakazi Z. Z.: 2007, "A new approach to the optimal target selection problem", Astron. Astroph., 464, 1167-1175. R.1326) Gao F. & Tong H.: 2006, "A novel optimal PID tuning and on-line tuning based on particle swarm optimization", in "Proceedings of the International Conference on Sensing, Computing and Automation", Watam Press, 182-186. R.1327) Gao F. & Tong H.: 2006, "Particle swarm optimization: An efficient method for tracking periodic orbits and controlling chaos", Dynamics of Continuous Discrete and Impulsive Systems – Ser. B – Applications & Algorithms, Part 2 Suppl. S., 13, 780-784. R.1328) Gao F. & Tong H.: 2006, "Control a novel discrete chaotic system through Particle Swarm Optimization", in "Proceedings of the 6th World Congress on Intelligent Control and Automation", IEEE, 3330-3334. R.1329) Grosan C., Abraham A. & Chis M.: 2006, "Swarm intelligence in data mining", in "Swarm intelligence in data mining", Studies in computational Intelligence (SCI), eds. Abraham A., Grosan C. & Ramos V., Springer- Verlag, 34, 1-20.

To paper P.20: Bountis T. C. & Skokos Ch. : 2006, "Application of the SALI chaos detection method to accelerator mappings", Nucl. Instr. Meth. Phys. Res. – Sect. A, 561, 173-179. R.1330) Bäcker A. & Meiss J.D.: 2020, "Elliptic Bubbles in Moser's 4D Quadratic Map: the Quadfurcation", SIAM J. Appl. Dyn. Syst., 19, 442–479. R.1331) Benitez P., Losada J. C., Benito R. M., Borondo F.: 2015, "Using the small alignment index chaos indicator to characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918. R.1332) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem", Astron. Nachr., 335, 877-885. R.1333) Maffione N.P., Darriba L.A., Cincotta P.M. & Giordano C.M.: 2013, "Chaos detection tools: application to a self–consistent triaxial model", MNRAS, 429, 2700-2717. R.1334) Darriba L.A., Maffione N.P., Cincotta P.M. & Giordano C.M.: 2012, "Comparative study of variational chaos indicators and ODEs’ numerical integrators", Int. J. Bifurc. Chaos, 22, 1230033. R.1335) Maffione N.P., Darriba L.A., Cincotta P.M. & Giordano C.M.: 2011, "A comparison of different indicators of chaos based on the deviation vectors: application to symplectic mappings", Cel. Mech. Dyn. Astron., 111, 285- 307. R.1336) Tziotzios T.: 2009, "Computation of chaoticity indices for systems with many degrees of freedom", M.Sc. Thesis, Department of Physics, Faculty of Sciences, University of Thessanoniki, http://users.auth.gr/~voyatzis/SeniorThesis/mTziotzios.pdf (in Greek).

Ch. Skokos 50 25/09/21 R.1337) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.1338) Antonopoulos Ch.: 2007, "Stability and chaos in Hamiltonian systems of many degrees of freedom: from classical to statistical mechanics", Ph.D. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras (in Greek).

To paper P.21: Bountis T. & Skokos Ch. : 2006, "Space charges can significantly affect the dynamics of accelerator maps", Phys. Let. A, 358, 126-133. R.1339) Sansottera M., Giorgilli A. & Carletti T.: 2016, "High-order control for symplectic maps", Phys. D, 316, 1- 15. R.1340) Kulabukhova N.:2013, "Space charge dominated envelope dynamics using GPUs", in "Proceedings of the 4th International Particle Accelerator Conference IPAC13", 924-926. R.1341) Manos T. & Athanassoula E.: 2009, "Dynamical study of 2D and 3D barred galaxy models", in " Chaos in Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer- Verlag, 115-122. R.1342) Barber D. P.: 2008, "Stern-Gerlach forces and spin splitters", in "CP1008, Polarized antiproton beams – How? An international workshop", eds. Chattopadhyay S., Barber D. P., Buttimore N., Court G.& Steffens E., American Inst. Physics, 56-66. R.1343) Antonopoulos Ch.: 2007, "Stability and chaos in Hamiltonian systems of many degrees of freedom: from classical to statistical mechanics", Ph.D. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras (in Greek).

To paper P.22: Antonopoulos Ch., Bountis T. C. & Skokos Ch. : 2006, "Chaotic dynamics of N-degree of freedom Hamiltonian systems", Int. J. Bifurc. Chaos, 16(6), 1777-1793. R.1344) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.1345) Zholmaganbetova A.: 2019, "The Dynamics of Hamiltonian Lattices With Application to Hollomon Oscillators". M.Sc. Thesis, Nazarbayev University, Kazakhstan. R.1346) Martínez-Farías & Panayotaros P.: 2018, "Time evolution of localized solutions in 1-dimensional inhomogeneous FPU models", Eur. Phys. J. Sp. Top., 227, 575-589. R.1347) Martínez-Farías & Panayotaros P.: 2016, "Breather solutions for inhomogeneous FPU models using Birkhoff normal forms", Physica D, 335, 10-25. R.1348) Manchein C., Beims M.W. & Rost J.M.: 2014, "Characterizing weak chaos in nonintegrable Hamiltonian systems: The fundamental role of stickiness and initial conditions", Physica A, 400, 186-193. R.1349) Chechin G.M. & Ryabov D.S.: 2012, "Stability of nonlinear normal modes in the Fermi-Pasta-Ulam β chain in the thermodynamic limit", Phys. Rev. E, 85, 056601. R.1350) Panayotaros P.: 2012, "Instabilities of breathers in a finite NLS lattice", Physica D, 241, 847-856. R.1351) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642. R.1352) Panayotaros P.: 2010, "Continuation of normal modes in finite NLS lattices", Phys. Let. A, 374, 3912-3919. R.1353) Christodoulidi H.: 2009, "Dynamics of low dimensional tori and chaos in many degrees of freedom Hamiltonian systems", Ph.D Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras (in Greek). R.1354) Bhat H. S. & Osting B.: 2009, "The zone boundary mode in periodic nonlinear electrical lattices", Physica D, 238, 1216-1228. R.1355) Manos T. & Athanassoula E.: 2009, "Dynamical study of 2D and 3D barred galaxy models", in " Chaos in Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer- Verlag, 115-122. R.1356) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.1357) Goto S-i.: 2007, "From an unstable periodic orbit to the Lyapunov exponent and a macroscopic variable in a Hamiltonian lattice", Prog. Theor. Phys., 118(1), 25-34. R.1358) Altmann E. G.: 2007, "Intermittent chaos in Hamiltonian dynamical systems", Ph.D. Thesis, Max-Planck- Institut für Physik Komplexer Systeme, Dresden.

To paper P.23: Skokos Ch., Bountis T. C. & Antonopoulos Ch. : 2007, "Geometrical properties of local dynamics in Hamiltonian systems: the Generalized Alignment Index (GALI) method", Physica D, 231, 30-54.

Ch. Skokos 51 25/09/21 R.1359) Karmakar S. & Keshavamurthy S.: 2021, "Arnold web and dynamical tunneling in a four-site Bose–Hubbard model", Physica D, 427, 133006. R.1360) Carruba V., Aljbaae S., Domingos R.C., Huaman M. & Barletta W.: 2021, "Chaos identification through the autocorrelation function indicator (ACFI)", Cel. Mech. Dyn. Astron., 133, 38. R.1361) Makarov V.V., Goldin A. & Veras D.: 2021, "Spin–orbit resonances of high-eccentricity asteroids: Regular, switching, and jumping", Planet. Sci. J. 2, 108. R.1362) Gradoni G., Panichi F. & Turchetti G.: 2021, "Propagation of rays in 2D and 3D waveguides: A stability analysis with Lyapunov and reversibility fast indicators". Chaos, 31, 043138. R.1363) De S., Roychowdhury S. & Banerjee R.: 2021, "Beyond-Newtonian dynamics of a planar circular restricted three-body problem with Kerr-like primaries", MNRAS, 501, 713. 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R.1374) Vallejo J.C. & Sanjuan M.A.F.: 2019, "Chapter 1: Forecasting and Chaos" in "Predictability of Chaotic Dynamics. A Finite-time Lyapunov Exponents Approach. Second Edition", 1-31, Springer Series in Synergetics, Springer-Verlag, Berlin Heidelberg. R.1375) Lopez-Pina A.: 2019, "A control approach to complexity: from molecular vibrational dynamics to competition games on networks", Ph.D. Thesis, Universidad Politécnica de Madrid. R.1376) Lhotka C., Bourdin P. & Pilat-Lohinger E.: 2019, "Orbital stability of ensembles of particles in regions of magnetic reconnection in Earth’s magneto-tail", Phys. Plasmas, 26, 072903. R.1377) Zholmaganbetova A.: 2019, "The Dynamics of Hamiltonian Lattices With Application to Hollomon Oscillators". M.Sc. Thesis, Nazarbayev University, Kazakhstan. R.1378) He S., Sun K. & Peng Y.: 2019, "Detecting chaos in fractional-order nonlinear systems using the smaller alignment index", Phys. Lett. A, 383, 2267-2271. R.1379) Chaves-Velasquez L., Patsis P.A., Puerari I., Moreno E. & B. Pichardo B.: 2019, "Dynamics of thick, open spirals in PERLAS potentials", Astroph. J., 871, 79. R.1380) Ani C. J.: 2019, "Chaotic behavior of charged particles in electromagnetic fields", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.1381) Vozikis C., Kleidis K. & Papaioannou S.: 2018, "The power spectrum indicator: A new, efficient method for the early detection of chaos", nlin.CD/1808.00223. R.1382) Djondiné P. & Barbot J.-P.: 2018, "Nonlinear dynamic of the multicellular chopper", Int. J. Nonlinear Anal. Appl., 9, 21-31. R.1383) Miranda Filho L.H., Amato M.A. & Rocha Filho T.M.: 2018, "Lyapunov Exponent and Criticality in the Hamiltonian Mean Field Model",.J. Stat. Mech.: Theory Exper., 033204. R.1384) Datseris G.: 2018, "DynamicalSystems.jl: A Julia software library for chaos and nonlinear dynamics", J. Open Source Soft., 3, 598. 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Ch. Skokos 55 25/09/21 R.1470) Christodoulidi H.: 2009, "Dynamics of low dimensional tori and chaos in many degrees of freedom Hamiltonian systems", Ph.D Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras (in Greek). R.1471) Waż P. & Bielińska-Waż D.: 2009, "Asymmetry coefficients as indicators of chaos", Acta Phys. Pol. A, 116, 987-991. R.1472) Frouard J., Fouchard M. & Vienne A.: 2009, "Comparison of Lyapunov chaos indicators", in "Dynamics of Celestial Bodies", eds. Varvoglis H. & Knezevic Z., Publications of the Astronomical Observatory of Belgrade, Special Issue, 121-124. R.1473) Manos T. & Athanassoula E.: 2009, "Dynamical study of 2D and 3D barred galaxy models", in " Chaos in Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer- Verlag, 115-122. R.1474) Tziotzios T.: 2009, "Computation of chaoticity indices for systems with many degrees of freedom", M.Sc. Thesis, Department of Physics, Faculty of Sciences, University of Thessanoniki, http://users.auth.gr/~voyatzis/SeniorThesis/mTziotzios.pdf (in Greek). R.1475) Contopoulos G. & Harsoula M.: 2008, "Stickiness in chaos", Int. J. Bifur. Chaos, 18, 2929-2949. R.1476) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.1477) Frouard J., Fouchard M. & Vienne A.: 2008, "Comparison of fast Lyapunov chaos indicators for celestial mechanics", in "Proceedings SF2A-2008: Semaine de l’ Astrophysique Française. Scientific Highlights", eds. Charbonnel C., Combes F. & Samadi R., 121-122 (http://ozone.obspm.fr/~sf2a/proc2008/pages-book.html). R.1478) Carpintero D. D.: 2008, "Finding how many isolating integrals of motion an orbit obeys", MNRAS, 388, 1293- 1304.

To paper P.24: Manos T., Skokos Ch., Athanassoula E. & Bountis T.: 2008, "Studying the global dynamics of conservative dynamical systems using the SALI chaos detection method", Nonlin. Phenom. Complex Syst., 11, 171-176. R.1479) Chaves-Velasquez L.L.: 2019, "Stellar Orbital Dynamics of Disk Galaxies: I Bars, II Spiral Arms", Ph.D. Thesis, Instituto Nacional de Astrofísica, Óptica y Electrónica, Puebla, Mexico. R.1480) Zholmaganbetova A.: 2019, "The Dynamics of Hamiltonian Lattices With Application to Hollomon Oscillators". M.Sc. Thesis, Nazarbayev University, Kazakhstan. R.1481) Sánchez-Martín P., Masdemont J.J. & Romero-Gómez M.: 2018, "From manifolds to Lagrangian coherent structures in galactic bar models", A&A, 618, A72. R.1482) Kumar V., Gupta B.R. & Aggarwal R: 2016, "Numerical investigation of a star’s trajectory in binary quasar system", Adv. Stud. Contemp. Math., 26, 385-399. R.1483) Ma D.-Z., Long Z.-C. & Zhu Y.: 2015, "Effects of manifold correction methods on chaos indicators", Celest. Mech. Dyn. Astr., 123, 45-61. R.1484) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem", Astron. Nachr., 335, 877-885. R.1485) Antonopoulos C., Basios V., Demongeot J, Nardone P. & Thomas R.: 2013, "Linear and nonlinear arabesques: A study of closed chains of negative 2-element circuits", Int. J. Bifurc. Chaos, 23, 1330033. R.1486) Zotos E.E. & Carpintero D.D.: 2013, "Orbit classification in the meridional plane of a disk galaxy model with a spherical nucleus", Celest. Mech. Dyn. Astr., 116, 417-438. R.1487) Dvorak R. & Lhotka C.: 2013, "Celestial Dynamics. Chaoticity and Dynamics of Celestial Systems" Wiley- VCH.

To paper P.25: Skokos Ch., Bountis T. C. & Antonopoulos Ch. : 2008, "Detecting chaos, determining the dimensions of tori and predicting slow diffusion in Fermi-Pasta-Ulam lattices by the Generalized Alignment Index method", Eur. Phys. J. Sp. Top., 165, 5-14. R.1488) Sklan S. R. & Li B.: 2018, "The hidden role of coupled wave network topology on the dynamics of nonlinear lattices", physics.class-ph/1803.08360. R.1489) Chatar W., Kharbach J., Benkhali M., El Ghamari M., Benmalek M., Rezzouka A. & Ouazzani-Jamil M.: 2021, "Painlevé’s analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential", Phys. Lett. A, 401, 127331. R.1490) Manos T.: 2020, "Non linear dynamics in complex systems: From quantum systems to brain neurons and galaxies", Habilitation Theis, CY Cergy Paris Université. R.1491) Giata O.: 2020, "Periodic solutions and chaotic dynamics in a Duffing equation model of charged particles", Ph.D. Thesis, Dipartimento di Scienze Matematiche, Informatiche e Fisiche, Università degli Studi di Udine, Italy.

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Ch. Skokos 61 25/09/21 R.1635) Milovanov A.V. & Iomin A.: 2014, "A topological approximation of the nonlinear Anderson model", Phys. Rev. E, 89, 062921. R.1636) Cheng Y., Tang G. & Adhikari S.K.: 2014, "Localization of a spin-orbit coupled Bose-Einstein condensate in a bichromatic optical lattice", Phys. Rev. A, 89, 063602. R.1637) Novitsky D.V.: 2014, "Pulse propagation in one-dimensional disordered photonic crystals: Interplay of disorder with instantaneous and relaxing nonlinearities", J. Opt. Soc. Amer. B, 31, 1282-1289. R.1638) Nguyen B.P. & Kim K.: 2014, "Wave-packet Dynamics in One-dimensional Nonlinear Schrödinger Lattices: Local vs. Nonlocal Nonlinear Effects", J Korean Phys. Soc., 64, 355-361. R.1639) Mulansky M.: 2014, "Scaling of Chaos in Strongly Nonlinear Lattices", Chaos, 24, 024401. R.1640) Lee C., Rai A., Noh C. & Angelakis D.G.: 2014, "Probing the effect of interaction in Anderson localization using linear photonic lattices", Phys. Rev. A, 89, 023823. 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Ch. Skokos 62 25/09/21 R.1665) Hennig D., Mulhern C. & Burbanks A.D.: 2013, "From strong chaos via weak chaos to regular behaviour: Optimal interplay between chaos and order", Physica D, 253, 102-110. R.1666) Golshani M., Bahrampour A.R., Langari A. & Szameit A.: 2013, "Transverse localization in nonlinear photonic lattices with second-order coupling", Phys. Rev. A, 87, 033817. R.1667) D’Errico C., Moratti M., Lucioni E., Tanzi L., Deissler B, Inguscio M., Modugno G, Plenio M.B. & and Caruso F.: 2013, "Quantum diffusion with disorder, noise and interaction", New J. Phys., 15, 045007. R.1668) de Moura F.A.B.F.: 2013, "Numerical evidence of electron–soliton dynamics in Fermi–Pasta–Ulam disordered chains", Physica D, 253, 66-72. R.1669) Milovanov A.V.: 2012, "Percolation models of self-organized critical phenomena", https://arxiv.org/abs/1207.5389. 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R.1687) Tezuka M. & García-García A.M.: 2012, "Testing the universality of the many body metal-insulator transition by time evolution of a disordered one-dimensional ultracold fermionic gas", Phys. Rev. E, 85, 013602. R.1688) Mulansky M. & Pikovsky A.: 2012, "Re-localization due to finite response times in a nonlinear Anderson chain", Eur. Phys. J. B, 85, 105. R.1689) Molina M.I., Lazarides N. & Tsironis G.P.: 2012, "Optical surface modes in the presence of nonlinearity and disorder", Phys. Rev. E, 85, 017601. R.1690) Fishman S., Krivolapov Y. & Soffer A.: 2012, "The nonlinear Schrödinger equation with a random potential: Results and puzzles", Nonlinearity, 25, R53-R72. R.1691) Zhang Z.J., Li W.J. & Tong P.Q.: 2012, "Effects of delayed nonlinear response on wave packet dynamics in one-dimensional disordered chains", Eur. Phys. J. B, 85, 98. R.1692) Dias W. S., Lyra M. L. & de Moura F. A. B. F.: 2012, "Self-trapping of interacting electrons in crystalline nonlinear chains", Eur. Phys. 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Ch. Skokos 63 25/09/21 R.1695) Zhang Z.-J., Yu M., Gong L.-Y. & Tong P.-Q.: 2011, "Wave packet dynamics of two extended Harper models", Acta Phys. Sin. 60, 097104. R.1696) Cheng Y. & Adhikari S. K.: 2011, "Matter-wave localization in a weakly perturbed optical lattice", Phys. Rev. A, 84, 053634. R.1697) Cazalilla M. A., Citro R., Giamarchi T., Orignac E. & Rigol M.: 2011, "One dimensional bosons: From condensed matter systems to ultracold gases", Rev. Mod. Phys., 83, 1405. R.1698) Rivkind A., Krivolapov Y., Fishman S. & Soffer A.: 2011, "Eigenvalue repulsion estimates and some applications for the one-dimensional Anderson model", J. Phys. A, 44, 305206. R.1699) Nguyen B.P., Kim K., Rotermund F. & Lim H.: 2011, "Enhanced localization of waves in one-dimensional random media due to nonlinearity: Fixed input case", Physica B, 406, 4535-4537. R.1700) Mulansky M., Ahnert K., Pikovsky A. & Shepelyansky D. 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Ch. Skokos 65 25/09/21 R.1755) Amir A., Lahini Y. & Perets H. B.: 2009, "Classical Diffusion of a quantum particle in a noisy environment", Phys. Rev. E, 79, 050105. R.1756) Mulansky M.: 2009, "Localization properties of nonlinear disordered lattices", DiplomaThesis, Universität Potsdam. R.1757) Johansson M., Kopidakis G., Lepri S. & Aubry S.: 2009, "Transmission thresholds in time-periodically driven nonlinear disordered systems", EPL, 86, 10009. R.1758) Ivanchenko M. V.: 2009, "q-Breathers in finite lattices: nonlinearity and weak disorder", Phys. Rev. Let., 102, 175507. R.1759) García-Mata I. & Shepelyansky D. L.: 2009, "Delocalization induced by nonlinearity in systems with disorder", Phys. Rev. E, 79, 026205. R.1760) Ivanchenko M. V.: 2009, "q-Breathers in discrete nonlinear Schrödinger arrays with weak disorder", J. Experim. Theor. Phys. Let., 89, 170-175.

To paper P.27: Skokos Ch., Krimer D. O., Komineas S. & Flach S.: 2009, "Delocalization of wave packets in disordered nonlinear chains", Phys. Rev. E, 79, 056211 (Erratum: Phys. Rev. E., 89, 029907). R.1761) Zhao X.: 2020, "Numerical integrators for continuous disordered nonlinear Schrödinger equation", math.NA/2007.15809. R.1762) Pouyandeh S. & Olyaei H.Z.: 2019, "Quantum transport through a coupled non-linear exciton-phonon system", cond-mat.mes-hall/1902.05060. R.1763) Ermann L. & Shepelyansky D.L.: 2021, "Deconfinement of classical Yang-Mills color fields in a disorder potential", Chaos, 31, 093106. R.1764) Kati Y.: 2021, "Equilibrium and Non-equilibrium Gross–Pitaevskii Lattice Dynamics: Interactions, Disorder, and Thermalization", Ph.D. Thesis, University Of Science And Technology, South Korea, cond-mat.stat- mech/2109.07268. R.1765) Zhu J., Liu Y. & He D.: 2021, "Effects of interplay between disorder and anharmonicity on heat conduction", Phys. Rev. E, 103, 062121. R.1766) Milovanov A.V., Rasmussen J.J. & Dif-Pradalier G.: 2021, "Self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity", Phys. Rev. E, 103, 052218. R.1767) Lio Y. & He D.: 2021, "Analytical approach to Lyapunov time: Universal scaling and thermalization", Phys. Rev. E, 103, L040203. R.1768) Cong H., Shi Y. & Zhang Z.: 2021, "Long-time Anderson localization for the nonlinear Schrödinger equation revisited", J. Stat. Phys., 182, 10. R.1769) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.1770) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.1771) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.1772) Scoquart T., Wellens T., Delande D. & Cherroret N.: 2020, "Quench dynamics of a weakly interacting disordered Bose gas in momentum space", Phys. Rev. Res., 2, 033349. R.1773) Kumar M., Kundu A., Kulkarni M., Huse D.A. & Dhar A.: 2020, " Transport, correlations, and chaos in a classical disordered anharmonic chain", Phys. Rev. E, 102, 022130. R.1774) Janarek J., Delande D., Cherroret N. & Zakrzewski J.: 2020, "Quantum boomerang effect for interacting particles", Phys. Rev. A, 102, 0133303. R.1775) Pikovsky A.: 2020, "Scaling of energy spreading in a disordered Ding-Dong lattice", J. Stat. Mech., 053301. R.1776) Charalambous C., García-March M.Á, Muñoz-Gil G., Grzybowski P.R. & Lewenstein M.: 2020, "Control of anomalous diffusion of a Bose polaron", Quantum, 4, 232. R.1777) Charalambous C.: 2020, "Quantum Brownian Motion in Bose-Einstein Condensates", Ph.D. Thesis, Universitat Politecnica de Catalunya. R.1778) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.1779) Sun Z.-Y. & Yu X.: 2019, "Transient diffusion and two-regime localization of discrete breatherlike excitations in nonlinear Schrödinger lattice with disorder", Phys. Rev. E, 100, 022202. R.1780) Nazarenko S., Soffer A. & Tran M.-B.: 2019, "On the Wave Turbulence Theory for the Nonlinear Schrödinger Equation with Random Potentials", Entropy, 21, 823. R.1781) Milovanov A.V. & Iomin A.: 2019, "Subdiffusive Lévy flights in quantum nonlinear Schrödinger lattices with algebraic power nonlinearity", Phys. Rev. E, 99, 052223. R.1782) Pereira A.L.S., Lyra M.L., de Moura F.A.B.F., Ranciaro Neto A. & Dias W.S.: 2018, "Nonlinear wave-packet dynamics resonantly driven by AC and DC fields", Commun. Nonlin. Sci. Numer. Simulat., 64, 89-97.

Ch. Skokos 66 25/09/21 R.1783) Mančić A., Baronio F., Hadžievski L., Wabnitz S. & Maluckov A.: 2018, "Statistics of vector Manakov rogue waves", Phys. Rev. E, 98, 012209. R.1784) Farzadian O. & Niry M.D.: 2018, "Role of short-range correlation in facilitation of wave propagation in a long-range ladder chain", Phys. A, 505, 49-60. R.1785) Li L., Wang B., Lü X.-Y. & Wu Y.: 2018, "Chaos-related Localization in Modulated Lattice Array", 530, 1700218. R.1786) Mardonov Sh., Modugno M. & Sherman E. Ya.: 2018, "Effects of Anomalous Velocity in Spin-orbit Coupled Systems" in "Spin Orbitronics and Topological Properties of Nanostructures.Lecture Notes of the 12th International School on Theoretical Physics", World Scientific, 178-199. R.1787) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model", https://arxiv.org/abs/1703.01328. R.1788) Modugno M., Sherman E.Ya. & Konotop V.V.: 2017, "Macroscopic random Paschen-Back effect in ultracold atomic gases", Phys. Rev. A, 95, 063620. R.1789) Sales M.O., Dias W.S., Ranciaro Neto A., Lyra M.L. & de Moura F.A.B.F.: 2017, "Sub-diffusive spreading and anomalous localization in a 2D Anderson model with off-diagonal nonlinearity ", Solid Stat. Comm., 270, 6-11. R.1790) Zhang Z., Kang J. & Li R.: 2017, "Wave Packet Dynamics in Uniform Chain with Various Spatial Distributions of Nonlinearity", APETC 2017, 1354-1361. R.1791) Iomin A.: 2017, "Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder", Comput. Math. Applic., 73, 914-930. R.1792) dos Santos J.L.L., Sales M.O., Ranciaro Neto A. & de Moura F.A.B.F.: 2017, "Dynamics of interacting electrons under effect of a Morse potential", Phys. Rev. E, 95, 052217. R.1793) Milovanov A.V. & Iomin A.: 2017, "Destruction of Anderson localization in quantum nonlinear Schrödinger lattices", Phys. Rev. E, 95, 042142. R.1794) Astakhova T.Yu., Kashin V.A. & Vinogradov G.A.: 2017, "Charge Transfer and Anderson Localization in One-Dimensional Finite-Size Disordered Systems", Russ. J. Phys. Chem., 11, 481-491. R.1795) Wang L., Li N. & Hänggi P.: 2016, "Simulation of heat transport in low-dimensional oscillator lattices", Lect. Notes Phys., 921, 239-274. R.1796) Ranciaro Neto A. & de Moura F.A.B.F.: 2016, "Electronic dynamics under effect of a nonlinear Morse interaction and a static electric field", Nonlin. Sci. Num. Simul., 40, 6-14. R.1797) Iomin A.: 2016, "Quantum continuous time random walk in nonlinear Schrödinger equation with disorder", Chaos Solit. Fract., 93, 64-70. R.1798) Cardoso W.B., Leão S.A. & Avelar A.T.: 2016, "Anderson localization in the quintic nonlinear Schrödinger equation", Opt. Quant. Electron, 48, 388. R.1799) Bai X.-D., Malomed B.A. & Deng F.-G.: 2016, "Unidirectional transport of wave packets through tilted discrete breathers in nonlinear lattices with asymmetric defects", Phys. Rev. E, 94, 032216. R.1800) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices", APNUM, 104, 110-119. R.1801) Gao Z., Li N. & Li B.: 2016, " Stretch diffusion and heat conduction in one-dimensional nonlinear lattices", Phys. Rev. E, 93, 032130. R.1802) Martínez A.J., Kevrekidis P.G. & Porter M.A.: 2016, "Superdiffusive Transport and Energy Localization in Disordered Granular Crystals", Phys. Rev. E, 93, 022902. R.1803) Gao Z., Li N. & Li B.: 2016, "Heat conduction and energy diffusion in momentum-conserving one-dimensional full-lattice ding-a-ling model", Phys. Rev. E, 93, 022102. R.1804) Mardonov Sh., Modugno M. & Sherman E. Ya.: 2015, "Dynamics of Spin-Orbit Coupled Bose-Einstein Condensates in a Random Potential", Phys. Rev. Lett., 115, 180402. R.1805) Silva A.F.G., Lima R.P.A., Chaves Filho V.L., de Moura F.A.B.F. & Lyra M.L. : 2016, "Sensitivity to initial conditions of the self-trapping transition in C60 buckyballs with relaxing nonlinearity", Commun. Nonlinear Sci. Simulat., 30, 101-107. R.1806) Leykam D.: 2015, "Wave and spectral singularities in photonic lattices", Ph.D. Thesis, The Australian National University, Canberra, Australia. R.1807) Naether U., Mejía-Cortés C. & Vicencio R.A.: 2015, " Pseudo-two-dimensional random dimer lattices",Phys. Lett. A, 379, 988. R.1808) Li Y., Liu S., Li N., Hänggi P. & Li B.: 2015, "1D momentum-conserving systems: the conundrum of anomalous versus normal heat transport", New J. Phys., 17, 043064. R.1809) Li Y., Li N. & Li B.: 2015, "Temperature dependence of thermal conductivities of coupled rotator lattice and the momentum diffusion in standard map", Eur. Phys. J. B, 88, 182. R.1810) Chaves Filho V.L., Lima R.P.A. & Lyra M.L. : 2015, "Interplay between modulational instability and self- trapping of wavepackets in nonlinear discrete lattices", Chaos, 25, 063101.

Ch. Skokos 67 25/09/21 R.1811) Sales M.O. & de Moura F.A.B.F.: 2014, "Electron–soliton dynamics in chains with cubic nonlinearity", J. Phys.: Condens. Matter, 26, 415401. R.1812) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions", J. Phys. A, 47, 335101. R.1813) d'Errico C., Chaudhuri S., Gori L., Kumar A., Lucioni E., Tanzi L., Inguscio M. & Modugno G.: 2014, "Transport of an interacting Bose gas in 1D disordered lattices", AIP Conf. Proc., 1610, 24-33. R.1814) Milovanov A.V. & Iomin A.: 2014, "A topological approximation of the nonlinear Anderson model", Phys. Rev. E, 89, 062921. R.1815) Nguyen B.P. & Kim K.: 2014, "Wave-packet Dynamics in One-dimensional Nonlinear Schrödinger Lattices: Local vs. Nonlocal Nonlinear Effects", J Korean Phys. Soc., 64, 355-361. 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To paper P.28: Skokos Ch. & Flach S.: 2010, "Spreading of wave packets in disordered systems with tunable nonlinearity", Phys. Rev. E, 82, 016208. R.1880) Ermann L. & Shepelyansky D.L.: 2021, "Deconfinement of classical Yang-Mills color fields in a disorder potential", Chaos, 31, 093106. R.1881) Milovanov A.V., Rasmussen J.J. & Dif-Pradalier G.: 2021, "Self-consistent model of the plasma staircase and nonlinear Schrödinger equation with subquadratic power nonlinearity", Phys. Rev. E, 103, 052218. R.1882) Milovanov A.V., Rasmussen J.J. & Groslambert B.: 2021, "Black swans, extreme risks, and the e-pile model of self-organized criticality", Chaos Solit. Fract., 144, 110665. R.1883) Cong H., Shi Y. & Zhang Z.: 2021, "Long-time Anderson localization for the nonlinear Schrödinger equation revisited", J. Stat. Phys., 182, 10. R.1884) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.1885) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.1886) Zhao W.-L., Zhou L., Liu J., Tong P. & Huang K.: 2020, "Superexponential diffusion in nonlinear non- Hermitian systems", Phys. Rev. A, 102, 062213. R.1887) Zhu K.-Q., Yu Z.-F., Gao J.-M., Zhang A.-X., Xu H.-P. & Xue J.-K.: 2019, "Periodically modulated interaction effect on transport of Bose–Einstein condensates in lattice with local defects", Chin. Phys. B, 28, 010307. R.1888) Zhang Z., Kang J. & Li R.: 2017, "Wave Packet Dynamics in Uniform Chain with Various Spatial Distributions of Nonlinearity", APETC 2017, 1354-1361. R.1889) Zhu K.-Q., Yu Z.-F. & Xue J.-K.: 2017, "Transport of spin-orbit coupled Bose–Einstein condensates in lattice with defects", Phys. Lett. A, 381, 2272-2277. R.1890) Iomin A.: 2017, "Subdiffusion in classical and quantum nonlinear Schrödinger equations with disorder", Comput. Math. Applic., 73, 914-930. R.1891) Zhao W.-L., Gong J., Wang W.-G., Casati G., Liu J. & Fu L.-B.: 2016, "Exponential wave-packet spreading via self-interaction time modulation", Phys. Rev. A, 94, 053631. R.1892) Ranciaro Neto A. & de Moura F.A.B.F.: 2016, "Electronic dynamics under effect of a nonlinear Morse interaction and a static electric field", Nonlin. Sci. Num. Simul., 40, 6-14. R.1893) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices", APNUM, 104, 110-119. R.1894) Nguyen B.P., Ngo Q.M. & Kim K.: 2016, " Transient Super-ballistic Spreading of Wave Packets with Large Spreading Exponents in Some Hybrid Ordered-quasiperiodic Lattices", J Korean Phys. Soc., 68, 387-392. R.1895) Milovanov A.V. & Iomin A.: 2015, "Topology of Delocalization in the Nonlinear Anderson Model and Anomalous Diffusion on Finite Clusters", Discont. Nonlin. Complex., 4, 151-162. R.1896) Bai X.-D. & Xue J.-K.: 2015, "Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials", Chin. Phs. Lett., 32, 120302. R.1897) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions", J. Phys. A, 47, 335101.

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To paper P.31: Bodyfelt J. D., Laptyeva T. V., Skokos Ch., Krimer D. O., & Flach S.: 2011, "Nonlinear waves in disordered chains: probing the limits of chaos and spreading", Phys. Rev. E, 84, 016205. R.2016) Cong H., Shi Y. & Zhang Z.: 2021, "Long-time Anderson localization for the nonlinear Schrödinger equation revisited", J. Stat. Phys., 182, 10. R.2017) Kati Y.: 2021, "Equilibrium and Non-equilibrium Gross–Pitaevskii Lattice Dynamics: Interactions, Disorder, and Thermalization", Ph.D. Thesis, University Of Science And Technology, South Korea, cond-mat.stat- mech/2109.07268. R.2018) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2019) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2020) Kumar M., Kundu A., Kulkarni M., Huse D.A. & Dhar A.: 2020, " Transport, correlations, and chaos in a classical disordered anharmonic chain", Phys. Rev. E, 102, 022130. R.2021) Zhao W.-L., Wang J. & Wang W.-G.: 2019, "Quantum-classical correspondence in a nonlinear Gross- Pitaevski system", J. Phys. A: Math. Theor., 52, 305101. R.2022) Fontanela F., Grolet A., Salles L, Chabchoub A., Champneys A.R., Patsias S. & Hoffmann N.: 2019, "Dissipative solitons in forced cyclic and symmetric structures", Mech. Syst. Sign. Proc., 117, 280-292. R.2023) Li S. & Li N.: 2018, "Renormalized vibrations and normal energy transport in 1d FPU-like discrete nonlinear Schrödinger equations", Sci. Rep., 8, 5329. R.2024) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town. R.2025) Zhao W.-L., Gong J., Wang W.-G., Casati G., Liu J. & Fu L.-B.: 2016, "Exponential wave-packet spreading via self-interaction time modulation", Phys. Rev. A, 94, 053631. R.2026) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices", APNUM, 104, 110-119. R.2027) Bai X.-D. & Xue J.-K.: 2015, "Subdiffusion of Dipolar Gas in One-Dimensional Quasiperiodic Potentials", Chin. Phs. Lett., 32, 120302. R.2028) Li N. & Ren J.: 2014, "Non-Reciprocal Geometric Wave Diode by Engineering Asymmetric Shapes of Nonlinear Materials", Scientific Rep., 4, 6228. R.2029) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions", J. Phys. A, 47, 335101. R.2030) Radosavljević A., Gligorić G., Maluckov A. & Stepić M.: 2014, "Control of light propagation in one- dimensional quasi-periodic nonlinear photonic lattices", J. Opt., 16, 025201. R.2031) Basko D.M.: 2014, "Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain in the regime of homogeneous chaos", Phys. Rev. E, 89, 022921. R.2032) Mulansky M.: 2013, "Simulating DNLS models", https://arxiv.org/abs/1304.1608. R.2033) Gkolias I.: 2013, "Chaos in 1-dimensional nonlinear disordered lattices", M.Sc. Thesis, Physics Department, Aristotle University of Thessaloniki, Thessaloniki, Greece. R.2034) Mulansky M.: 2012, "Chaotic diffusion in nonlinear Hamiltonian systems", Ph.D Thesis, Mathematisch- Naturwissenschaftlichen Fakultät, Universität Potsdam.

Ch. Skokos 75 25/09/21 R.2035) Min B., Li T., Rosenkranz M. & Bao W.: 2012, "Subdiffusive spreading of a Bose-Einstein condensate in random potentials", Phys. Rev. E, 86, 053612. R.2036) Basko D.M.: 2012, "Local nature and scaling of chaos in weakly nonlinear disordered chains", Phys. Rev. E, 86, 036202. R.2037) Fishman S., Krivolapov Y. & Soffer A.: 2012, "The nonlinear Schrödinger equation with a random potential: Results and puzzles", Nonlinearity, 25, R53-R72. R.2038) Basko D. M.: 2011, "Weak chaos in the disordered nonlinear Schrödinger chain: destruction of Anderson localization by Arnold diffusion", Annals Phys., 326, 1577-1655.

To paper P.32: Bodyfelt J. D., Laptyeva T. V., Gligoric G., Krimer D. O., Skokos Ch. & Flach S.: 2011, "Wave interactions in localizing media - a coin with many faces", Int. J. Bifurc. Chaos, 21(8), 2107-2124. R.2039) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2040) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2041) Ranciaro Neto A. & de Moura F.A.B.F.: 2016, "Electronic dynamics under effect of a nonlinear Morse interaction and a static electric field", Nonlin. Sci. Num. Simul., 40, 6-14. R.2042) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices", APNUM, 104, 110-119. R.2043) Doggen E.V.H.: 2015, "Universal relations in ultracold polarized Fermi gases", Ph.D. thesis, Department of Applied Physics, Aalto University. R.2044) Doggen E.V.H. & Kinnunen J.J.: 2014, "Quench-induced delocalization", New J. Phys., 16 113051. R.2045) Naether U., Heinrich M., Lahini Y., Nolte S., Vicencio R.A., Molina M.I. & Szameit A.: 2013, "Self-trapping threshold in disordered nonlinear photonic lattices", Optics Lett., 38, 1518-1520. R.2046) Kottos T. & Shapiro B.: 2011, "Thermalization of strongly disordered nonlinear chains", Phys. Rev. E, 83, 062103.

To paper P.33: Ponno A., Christodoulidi H., Skokos Ch. & Flach S.: 2011, "The two-stage dynamics in the Fermi- Pasta-Ulam problem: from regular to diffusive behavior", Chaos, 21,043127. R.2047) Pezzi A., Deng G., Lvov Y., Lorenzo M. & Onorato M.: 2021, "Three-wave resonant interactions in the diatomic chain with cubic anharmonic potential: theory and simulations", cond-mat.stat-mech/2103.08336. R.2048) Wang Z., Fu W., Zhang Y. & Zhao H.: 2020, "Universal Time Scale for Thermalization in Two-dimensional Systems", cond-mat.stat-mech/2005.03478. R.2049) Zhang Z., Kang J. & Wen W.: 2021, "Behaviors of thermalization for the Fermi-Pasta-Ulam-Tsingou system with small number of particles", Chin. Phys. B, 30, 060505. R.2050) Sun L., Zhang Z. & Tong P.: 2020, "Effects of weak disorder on the thermalization of Fermi–Pasta–Ulam– Tsingou model", New J. Phys., 22, 073027. R.2051) Wang Z., Fu W., Zhang Y. & Zhao H.: 2020, "Wave-Turbulence Origin of the Instability of Anderson Localization against Many-Body Interactions", Phys. Rev. Lett., 124, 186401. R.2052) Pace S.D. & Campbell D.K.: 2019, "Behavior and Breakdown of Higher-Order Fermi-Pasta-Ulam-Tsingou Recurrences", Chaos, 29, 023132. R.2053) Fu W., Zhang Y. & Zhao H.: 2019, "Universal law of thermalization for one-dimensional perturbed Toda lattices", New J. Phys. 21, 043009. R.2054) Goldfriend T. & Kurchan J.: 2019, "Equilibration of quasi-Integrable Systems", Phys. Rev. E, 99, 022146. R.2055) Lvov Y.V. & Onorato M.: 2018, "Double scaling in the relaxation time in the β-Fermi-Pasta-Ulam-Tsingou model", Phys. Rev. Lett., 120, 144301. R.2056) Zhang Z., Tang C., Kang J. & Tong P.: 2017, "Dynamical energy equipartition of the Toda model with additional on-site potentials", Chin. Phys. B, 26, 100505. R.2057) Zhang Z., Kang J. & Tang C.: 2016, "Energy Transports in Toda Lattices with Quasiperiodic On-site Potentials", MATEC Web of Conferences 61, 01011. R.2058) Zhang Z., Tang C. & Tong P.: 2016, "Dynamical thermalization of Frenkel-Kontorova model in the thermodynamic limit", Phys. Rev. E, 93, 022216. R.2059) Matsuyama H. J. & Konishi T.: 2015, "Multistage slow relaxation in a Hamiltonian system: The Fermi-Pasta- Ulam model", Phys. Rev. E, 92, 022917. R.2060) Maspero A.: 2015, "Birkhoff Coordinates of Integrable Hamiltonian systems in Asymptotic Regimes", Ph.D. Thesis, Dipartimento di Matematica F. Enriques, Università Statale degli Studi di Milano. R.2061) Bambusi D. & Maspero A.: 2014, "Birkhoff coordinates for the Toda Lattice in the limit of infinitely many particles with an application to FPU", https://arxiv.org/abs/1407.4315.

Ch. Skokos 76 25/09/21 R.2062) Onorato M., Vozella L., Proment D. & Lvov Y.V.: 2014, "On the thermalization of the α-Fermi-Pasta-Ulam system", https://arxiv.org/abs/1402.1603v1. R.2063) Mulansky M.: 2012, "Chaotic diffusion in nonlinear Hamiltonian systems", Ph.D Thesis, Mathematisch- Naturwissenschaftlichen Fakultät, Universität Potsdam. R.2064) Genta T., Giorgilli A., Paleari S. & Penati T.: 2012, "Packets of resonant modes in the Fermi–Pasta–Ulam system", Phys. Let. A, 376, 2038-2044

To paper P.34: Boreux J., Carletti T., Skokos Ch. & Vittot M.: 2012, "Hamiltonian control used to improve the beam stability in particle accelerator models", Commun. Nonlinear Sci. Num. Simulat., 17, 1725-1738. R.2065) Hübner F.: 2020, "Chaotic transport by a turnstile mechanism in 4D symplectic maps", Ph.D. Thesis, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden. R.2066) Zhang Y., Wang Y., Wang Z., Liu C. & Wang J.: 2018, "A full-digital multidimensional redundancy control system for high intensity D-T fusion neutron generator", Prog. Nucl. Energy, 106, 367-371. R.2067) Morozov I.A. & Levichev E.B.: 2016, "Dynamic aperture control in accelerator lattices with multipole potentials", in "Proceedings of the 7th International Particle Accelerator Conference, IPAC16", http://accelconf.web.cern.ch/AccelConf/ipac2016/ , (ISBN 978-3-95450-147-2 web version), 3455-3457.

To paper P.35: Gerlach E., Eggl S. & Skokos Ch.: 2012, "Efficient integration of the variational equations of multi-dimensional Hamiltonian systems: Application to the Fermi-Pasta-Ulam lattice", Int. J. Bifurc. Chaos, 22(9), 1250216. R.2068) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2069) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2070) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.2071) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.2072) Hu S., Wu X., Huang G. & Liang E.: 2020, "A novel energy-conserving scheme for eight-dimensional Hamiltonian problems", Astroph. J., 887, 191. R.2073) Danieli C., Mithun T., Kati Y., Campbell D.K. & Flach S.: 2019, "Dynamical glass in weakly nonintegrable Klein-Gordon chains", Phys. Rev. E, 100, 032217. R.2074) Pace B., Diele F. & Marangi C.: 2015, "Splitting schemes and energy preservation for separable Hamiltonian systems", Math. Comput. Simul., 110, 40-52.

To paper P.36: Manos T., Skokos Ch. & Antonopoulos Ch. : 2012, "Probing the local dynamics of periodic orbits by the generalized alignment index (GALI) method", Int. J. Bifurc. Chaos, 22(9), 1250218. R.2075) Chatar W., Kharbach J., Benkhali M., El Ghamari M., Benmalek M., Rezzouka A. & Ouazzani-Jamil M.: 2021, "Painlevé’s analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential", Phys. Lett. A, 401, 127331. R.2076) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.2077) Chaves-Velasquez L.L.: 2019, "Stellar Orbital Dynamics of Disk Galaxies: I Bars, II Spiral Arms", Ph.D. Thesis, Instituto Nacional de Astrofísica, Óptica y Electrónica, Puebla, Mexico. R.2078) He S., Sun K. & Peng Y.: 2019, "Detecting chaos in fractional-order nonlinear systems using the smaller alignment index", Phys. Lett. A, 383, 2267-2271. R.2079) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 4: Local stability" in online book "Chaos: Classical and Quantum. I: Deterministic Chaos", version 15.9, http://chaosbook.org/. R.2080) Taani A. & Vallejo J.C.: 2017, "Dynamical Monte Carlo Simulations of 3-D Galactic Systems in Axisymmetric and Triaxial Potentials", PASA, 34, e024. R.2081) Kumar V., Gupta B.R. & Aggarwal R: 2016, "Numerical investigation of a star’s trajectory in binary quasar system", Adv. Stud. Contemp. Math., 26, 385-399. R.2082) Gupta B.R. & Kumar V.: 2016, "Characterization of the Phase Space Structure of Circular Restricted Three- Body Problem: An Alternative Approach", Int. J. Bifurc. Chaos, 26, 1650029. R.2083) Sándor Z. & Maffione N.: 2016, "The Relative Lyapunov Indicators: Theory and Application to Dynamical Astronomy", Lect. Notes Phys., 915, 183-220. R.2084) Yan D. & Quyang T.: 2015, "New Phenomena in the Spatial Isosceles Three-Body Problem", Int. J. Bifurc. Chaos, 25, 1550116.

Ch. Skokos 77 25/09/21 R.2085) Maffione N.P., Gómez F.A., Cincotta P.M., Giordano C.M., Cooper A.P. & O'Shea B. W.: 2015, "On the relevance of chaos for halo stars in the Solar Neighbourhood", MNRAS,453,2830-2847. R.2086) Gupta B.R. & Kumar V.: 2015, "Time-Frequency Analysis of Asymmetric Triaxial Galaxy Model Including Effect of Spherical Dark Halo Component", Int. J. Astrop. Astroph., 5, 106-115. R.2087) Rajaobelina Iarilala E.D.: 2015, "Numerical Investigation of Chaos", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa. R.2088) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem", Astron. Nachr., 335, 877-885. R.2089) Zachilas L., Katsanikas M. & Patsis P.A.: 2013, "The structure of phase space close to fixed points in a 4D symplectic map", Int. J. Bifurc. Chaos, 23, 1330023. R.2090) Darriba L.A., Maffione N.P., Cincotta P.M. & Giordano C.M.: 2012, "Comparative study of variational chaos indicators and ODEs’ numerical integrators", Int. J. Bifurc. Chaos, 22, 1230033. R.2091) Knežević Z., Morbidelli A., Burns J. A., Athanassoula E., Laskar J., Malhotra R., Mikkola S., Peale S.J. & Roig F.: 2012, "Commission 7: Celestial Mechanics and Dynamical Astronomy", Transactions IAU, Reports on Astronomy 2009–2012, International Astronomical Union, 7, 15-20.

To paper P.37: Boreux J., Carletti T., Skokos Ch., Papaphilippou Y. & Vittot M.: 2012, "Efficient control of accelerator maps", Int. J. Bifurc. Chaos, 22(9), 1250219. R.2092) Firmbach M.: 2021, "Chaotic transport and partial barriers in 4D symplectic maps", Ph.D. Thesis, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden.

To paper P.38: Manos T., Bountis T. & Skokos Ch.: 2013, "Interplay between chaotic and regular motion in a time-dependent barred galaxy model", J. Phys. A, 46, 254017. R.2093) Chatar W., Kharbach J., Benkhali M., El Ghamari M., Benmalek M., Rezzouka A. & Ouazzani-Jamil M.: 2021, "Painlevé’s analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential", Phys. Lett. A, 401, 127331. R.2094) Chaves-Velasquez L.L.: 2019, "Stellar Orbital Dynamics of Disk Galaxies: I Bars, II Spiral Arms", Ph.D. Thesis, Instituto Nacional de Astrofísica, Óptica y Electrónica, Puebla, Mexico. R.2095) Dubeibe F.L., Martínez-Sicachá S.M. & González G.A.: 2019, "Orbital dynamics in realistic galaxy models: NGC 3726, NGC 3877 and NGC 4010", Rev. Acad. Colomb. Cienc. Ex. Fis. Nat. 43, 24-30. R.2096) Maffione NP., Gómez F.A., Cincotta P.M., Giordano C.M., Grand R.J.J., Marinacci F., Pakmor R., Simpson C.M., Springel V. & Frenk C.S.: 2018, "On the relevance of chaos for halo stars in the solar neighbourhood II", MNRAS, 478, 4052-4067. R.2097) Zotos E.E.: 2017, "Distinguishing between order and chaos in a simple barred galaxy model", Astron. Nachr., 338, 614-620. R.2098) Kumar V., Gupta B.R. & Aggarwal R: 2016, "Numerical investigation of a star’s trajectory in binary quasar system", Adv. Stud. Contemp. Math., 26, 385-399. R.2099) Cincotta P.M. & Giordano C.M.: 2016, "Theory and Applications of the Mean Exponential Growth Factor of Nearby Orbits (MEGNO) Method", Lect. Notes Phys., 915, 93-128. R.2100) Zotos E.E. & Caranicolas N.D: 2016, "Determining the type of orbits in the central regions of barred galaxies", RAA, 16, 26. R.2101) Weinberg M.D.: 2015, "Practical application of KAM theory to galactic dynamics: I. Motivation and methodology", https://arxiv.org/abs/1508.06855. R.2102) Yan D. & Quyang T.: 2015, "New Phenomena in the Spatial Isosceles Three-Body Problem", Int. J. Bifurc. Chaos, 25, 1550116. R.2103) Jung C. & Zotos E. E.: 2015, "Introducing a New 3D Dynamical Model for Barred Galaxies", PASA, 32, e042. R.2104) Benitez P., Losada J. C., Benito R. M. & Borondo F.: 2015, "Using the small alignment index chaos indicator to characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918. R.2105) Zotos E.E.: 2014, "How does the mass transport in disk galaxy models influence the character of orbits?", Baltic Astron., 23, 151-170. R.2106) Zotos E.E.: 2014, "Orbit classification of low and high angular momentum stars", Mech. Research Commun>, 62, 102-110. R.2107) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem", Astron. Nachr., 335, 877-885. R.2108) Zotos E.E.: 2014, "Classifying orbits in galaxy models with a prolate or an oblate dark matter halo component", Astron. Astroph., 563, A19. R.2109) Contopoulos G. & Harsoula M.: 2013, "3D chaotic diffusion in barred spiral galaxies", MNRAS, 436, 1201- 1214.

Ch. Skokos 78 25/09/21 To paper P.39: Skokos Ch., Gkolias I. & Flach S.: 2013, "Nonequilibrium chaos of disordered nonlinear waves", Phys. Rev. Let., 111, 064101 (Editors' Suggestion). R.2110) Huang K.-Q., Zhao W.-L. & Li Z.: 2021, "Effective protection of quantum coherence by non-Hermitian driving", quant-ph/2103.11496. R.2111) Kati Y.: 2021, "Equilibrium and Non-equilibrium Gross–Pitaevskii Lattice Dynamics: Interactions, Disorder, and Thermalization", Ph.D. Thesis, University Of Science And Technology, South Korea, cond-mat.stat- mech/2109.07268. R.2112) Zhu J., Liu Y. & He D.: 2021, "Effects of interplay between disorder and anharmonicity on heat conduction", Phys. Rev. E, 103, 062121. R.2113) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2114) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2115) Hillebrand M.: 2021, "Chaotic dynamics of polyatomic systems with an emphasis on DNA ", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2102.11020). R.2116) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.2117) Zhao W.-L., Zhou L., Liu J., Tong P. & Huang K.: 2020, "Superexponential diffusion in nonlinear non- Hermitian systems", Phys. Rev. A, 102, 062213. R.2118) Wang J., Zhang Y. & Xiong D.: 2020, "Energy relaxation in disordered lattice φ4 system: The combined effects of disorder and nonlinearity", Chin. Phys. B, 29, 120503. R.2119) Wang Z., Fu W., Zhang Y. & Zhao H.: 2020, "Wave-Turbulence Origin of the Instability of Anderson Localization against Many-Body Interactions", Phys. Rev. Lett., 124, 186401. R.2120) Taani A, Abushattal A & Mardini M.K.: 2019, "The regular dynamics through the finite-time Lyapunov exponent distributions in 3D Hamiltonian systems", Astron. Nachr., 340, 847–851. R.2121) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.2122) Zhao W.-L., Wang J. & Wang W.-G.: 2019, "Quantum-classical correspondence in a nonlinear Gross- Pitaevski system", J. Phys. A: Math. Theor., 52, 305101. R.2123) Miranda Filho L.H., Amato M.A., Elskens Y. & Rocha Filho T.M.: 2019, "Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems", Commun. Nonlin. Sci. Numer. Simulat., 74, 236–247. R.2124) Sales M.O., Ranciaro Neto A. & de Moura F.A.B.F.: 2018, "Spin-wave dynamics in nonlinear chains with spin-lattice interactions", Phys. Rev. E, 98, 062136. R.2125) Pereira A.L.S., Lyra M.L., de Moura F.A.B.F., Ranciaro Neto A. & Dias W.S.: 2018, "Nonlinear wave-packet dynamics resonantly driven by AC and DC fields", Commun. Nonlin. Sci. Numer. Simulat., 64, 89-97. R.2126) Zampetaki A., Pablo Salas J. & Schmelcher P.: 2018, "Energy transfer mechanisms in a dipole chain: From energy equipartition to the formation of breathers", Phys. Rev. E, 98, 022202. R.2127) Novitsky D.V.: 2018, "Disordered resonant media: Self-induced transparency versus light localization", Phys. Rev. A, 97, 013826. R.2128) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model", https://arxiv.org/abs/1703.01328. R.2129) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town. R.2130) Sales M.O., Dias W.S., Ranciaro Neto A., Lyra M.L. & de Moura F.A.B.F.: 2017, "Sub-diffusive spreading and anomalous localization in a 2D Anderson model with off-diagonal nonlinearity ", Solid Stat. Comm., 270, 6-11. R.2131) Zhao W.-L., Gong J., Wang W.-G., Casati G., Liu J. & Fu L.-B.: 2016, "Exponential wave-packet spreading via self-interaction time modulation", Phys. Rev. A, 94, 053631. R.2132) Ranciaro Neto A. & de Moura F.A.B.F.: 2016, "Electronic dynamics under effect of a nonlinear Morse interaction and a static electric field", Nonlin. Sci. Num. Simul., 40, 6-14. R.2133) Antonopoulos C. G., Bountis T. & Drossos L: 2016, "Coupled symplectic maps as models for subdiffusive processes in disordered Hamiltonian lattices", APNUM, 104, 110-119. R.2134) Harko T, Pantaragphong P. & Sabau S.: 2015, "A new perspective on the Kosambi-Cartan-Chern theory, and its applications", https://arxiv.org/abs/1509.00168. R.2135) Laptyeva T.V., Tikhomirov A.A., Kanakov O.I. & Ivanchenko M.V.: 2015, "Anderson atractors in active arrays", Sci. Reports, 5, 13263. R.2136) Harko T., Ho C.Y., Leung C.S. & Yip, S.: 2015, "Jacobi stability analysis of the Lorenz system", Int. J. Goem. Meth. Mod. Phys., 12, 1550081.

Ch. Skokos 79 25/09/21 R.2137) Doggen E.V.H.: 2015, "Universal relations in ultracold polarized Fermi gases", Ph.D. thesis, Department of Applied Physics, Aalto University. R.2138) Laptyeva T.V., Denisov S.V., Opisov G.V. & Ivanchenko M.V.: 2014, "Localization in active incommensurate arrays", https://arxiv.org/abs/1412.0533. R.2139) Ermann L. & Shepelyansky D.L.: 2014, "Destruction of Anderson localization by nonlinearity in kicked rotator at different effective dimensions", J. Phys. A, 47, 335101. R.2140) Doggen E.V.H. & Kinnunen J.J.: 2014, "Quench-induced delocalization", New J. Phys., 16 113051. R.2141) Lee C., Rai A., Noh C. & Angelakis D.G.: 2014, "Probing the effect of interaction in Anderson localization using linear photonic lattices", Phys. Rev. A, 89, 023823. R.2142) Basko D.M.: 2014, "Kinetic theory of nonlinear diffusion in a weakly disordered nonlinear Schrödinger chain in the regime of homogeneous chaos", Phys. Rev. E, 89, 022921. R.2143) Ermann L. & Shepelyansky D.L.: 2013, "Quantum Gibbs distribution from dynamical thermalization in classical nonlinear lattices", New J. Phys., 15, 123004.

To paper P.40: Tieleman O., Skokos Ch. & Lazarides A.: 2014, "Chaoticity without thermalisation in disordered lattices", Europhysics Letters, 105, 20001. R.2144) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2145) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2146) Laptyeva T.V., Ivanchenko M.V. & Flach S.: 2014, "Nonlinear lattice waves in heterogeneous media", J. Phys. A, 47, 493001. R.2147) Kwasigroch M.P. & Cooper N.R.: 2014, "Bose-Einstein Condensation and Many-Body Localization of Rotational Excitations of Polar Molecules", Phys. Rev. A, 90, 021605(R).

To paper P.41: Skokos Ch., Gerlach E., Bodyfelt J. D., Papamikos G. & Eggl S.: 2014, "High order three part split symplectic integrators: Efficient techniques for the long time simulation of the disordered discrete non linear Schrödinger equation", Phys. Let. A, 378, 1809-1815. R.2148) Singh M., Morkina A.Y., Korznikova E.A., Dubinko V.I., Terentiev D.A., Xiong D., Naimark O.B., Gani V.A. & Dmitriev S.V.: 2021, "Effect of discrete breathers on the specific heat of a nonlinear chain", J. Nonlin. Sci., 31, 12. R.2149) Hu S., Wu X. & Liang E.: 2021, "An energy-conserving integrator for conservative Hamiltonian systems with ten-dimensional phase space", Astroph. J. Supp. Ser., 253, 55. R.2150) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2151) Zaijiu S. & Lina S.: 2020, "Some notes on the stability of symplectic methods", Math. Num. Sinica, 42, 405 (in Chinese). R.2152) Sun Z.-Y. & Yu X.: 2020, "Anomalous diffusion of discrete solitons driven by evolving disorder", Phys. Rev. E, 101, 062211. R.2153) Ramos A., Kottos T. & Shapiro B.: 2020, "Optical phase transitions in photonic networks: A spin system formulation", Phys. Rev. X, 10, 031024. R.2154) Casas F. & Escorihuela-Tomàs A.: 2020, "Composition Methods for Dynamical Systems Separable into Three Parts", Mathematics 8, 533. R.2155) Laskar J. & Vaillant T.: 2019, "Dedicated symplectic integrators for rotation motions", Cel. Mech. Dyn. Astr., 131, 15. R.2156) Vaillant T.: 2018, "Rotation à long terme des corpes célestes et application à Cérès et Vesta", Ph.D. Thesis, Observatoire de Paris, France. R.2157) Li L., Wang B., Lü X.-Y. & Wu Y.: 2018, "Chaos-related Localization in Modulated Lattice Array", 530, 1700218. R.2158) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model", https://arxiv.org/abs/1703.01328. R.2159) Li D., Han X., Chai Y., Wang C., Zhang Z., Chen Z., Liu J. & Shao J.: 2017, "Stationary state distribution and efficiency analysis of the Langevin equation via real or virtual dynamics", J. Chem. Phys., 147, 184104. R.2160) Zhang Z., Liu X., Chen Z., Zheng H., Yan K. & Liu J.: 2017, "A unified thermostat scheme for efficient configurational sampling for classical/quantum canonical ensembles via molecular dynamics", J. Chem. Phys., 147, 034109. R.2161) Leykam D.: 2015, "Wave and spectral singularities in photonic lattices", Ph.D. Thesis, The Australian National University, Canberra, Australia.

Ch. Skokos 80 25/09/21 R.2162) Blanes S., Casas F., Murua A.: 2015, "An efficient algorithm based on splitting for the time integration of the Schrödinger equation", J. Comput. Phys., 303, 396-412. R.2163) Laptyeva T.V., Ivanchenko M.V. & Flach S.: 2014, "Nonlinear lattice waves in heterogeneous media", J. Phys. A, 47, 493001. R.2164) Mulansky M.: 2013, "Simulating DNLS models", https://arxiv.org/abs/1304.1608.

To paper P.42: Antonopoulos Ch., Bountis T., Skokos Ch. & Drossos L.: 2014, "Complex statistics and diffusion in nonlinear disordered particle chains", Chaos, 24, 024405. R.2165) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2166) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2167) Ruseckas J.: 2015, "Probabilistic model of N correlated binary random variables and non-extensive statistical mechanics", Phys. Lett. A, 379, 654-659.

To paper P.43: Kyriakopoulos N., Koukouloyannis V., Skokos Ch. & Kevrekidis P.: 2014, "Chaotic behavior of three interacting vortices in a confined Bose-Einstein condensate", Chaos, 24, 024410. R.2168) Zhang T., Schloss J., Thomasen A., O’Riordan L.J., Busch T. & White A.: 2019, "Chaotic few-body vortex dynamics in rotating Bose–Einstein condensates", Phys. Rev. Fluids, 4, 054701. R.2169) Schloss J.R. & O’Riordan L.J.: 2018, "GPUE: Graphics Processing Unit Gross–Pitaevskii Equation solver", Journal of Open Source Software, 3, 1037. R.2170) Zhang T.: 2017, "Chaotic Vortex Dynamics in Bose-Einstein Condensates", M.Sc. Thesis, Department of Physics, Norwegian University of Science and Technology. R.2171) Tsatsos M.C., Tavares P.E.S, Cidrim A., Fritsch A.R., Caracanhas M.A., Ednilson F., dos Santos A., Barenghi C.F & Bagnato V.S.: 2016, "Quantum turbulence in trapped atomic Bose-Einstein condensates", Physics Reports, 622, 1-52. R.2172) Benitez P., Losada J. C., Benito R. M., Borondo F.: 2015, "Using the small alignment index chaos indicator to characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918.

To paper P.44: Achilleos V., Theocharis G. & Skokos Ch.: 2016, "Energy transport in one-dimensional disordered granular solids", Phys. Rev. E, 93, 022903. R.2173) Taghizadeh K., Shrivastava R.K. & Luding S.: 2021, "Stochastic model for energy propagation in disordered granular chains", Materials, 14, 1815. R.2174) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2175) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2176) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.2177) Zhang W. & Xu J.: 2020, "Universal design law of equivalent systems for Nesterenko solitary waves transmission", Gran. Matt., 22, 46. R.2178) Li L.-L., Yang X.-Q. & Zhang W.: 2018, "Two interactional solitary waves propagating in two-dimensional hexagonal packing granular system", Gran. Matt., 20, 49. R.2179) Gerasymov O.I.: 2018, "Structure and Photonics of discrete meso-scaled anisotropic systems", Monography, Odesa State Environmental University. R.2180) Martínez A.J., Porter M.A. & Kevrekidis P.G.: 2018, "Quasiperiodic granular chains and Hofstadter butterflies", Phil. Trans. R. Soc. A, 376, 20170139. R.2181) Rosas A. & Lindenberg K.: 2018, "Pulse propagation in granular chains", Phys. Rep., 735, 1-37. R.2182) Chong C. & and Kevrekidis P.G.: 2018, "Heterogeneous Media", in "Coherent Structures in Granular Crystals. From Experiment and Modelling to Computation and Mathematical Analysis", SpringerBriefs in Physics, 51- 67. R.2183) Kim E., Martínez A.J., Phenisee S. E., Kevrekidis P.G., Porter M.A. & Yang J.: 2018, "Direct measurement of superdiffusive energy transport in disordered granular chains", Nature Commun., 9, 640. R.2184) Chong C., Porter M.A., Kevrekidis P.G. & Daraio C.: 2017, "Nonlinear Coherent Structures in Granular Crystals", J. Phys.: Condens. Matter, 29, 413002. R.2185) Shrivastava R.K. & Luding S.: 2017, "Effect of disorder on bulk sound wave speed: a multiscale spectral analysis", Nonlin. Processes Geophys., 24, 435–454.

Ch. Skokos 81 25/09/21 R.2186) Yousefzadeha B. & Srikantha Phania A.: 2016, "Supratransmission in a Disordered Nonlinear Periodic Structure", J. Sound Vibr., 380, 242-266. R.2187) Martínez A.J., Yasuda H., Kim E., Kevrekidis P.G., Porter M.A. & Yang J.: 2016, "Scattering of waves by impurities in precompressed granular chains", Phys. Rev. E, 93, 052224. R.2188) Martínez A.J., Kevrekidis P.G. & Porter M.A.: 2016, "Superdiffusive Transport and Energy Localization in Disordered Granular Crystals", Phys. Rev. E, 93, 022902.

To paper P.45: Gerlach E., Meichsner J, & Skokos Ch.: 2016, "On the symplectic integration of the discrete nonlinear Schrödinger equation with disorder", Eur. Phys. J. Sp. Top., 225, 1103-1114. R.2189) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2190) Sun Z.-Y. & Yu X.: 2020, "Anomalous diffusion of discrete solitons driven by evolving disorder", Phys. Rev. E, 101, 062211. R.2191) Ramos A., Kottos T. & Shapiro B.: 2020, "Optical phase transitions in photonic networks: A spin system formulation", Phys. Rev. X, 10, 031024. R.2192) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model", https://arxiv.org/abs/1703.01328. R.2193) Hatami H., Danieli C., Bodyfelt J.D. & Flach S.: 2016, "Quasiperiodic driving of Anderson localized waves in one dimension", Phys. Rev. E, 93, 062205.

To paper P.46: Antonopoulos Ch., Skokos Ch., Bountis T. & Flach S.: 2017, "Analyzing chaos in higher order disordered quartic-sextic Klein-Gordon lattices using q-statistics", Chaos Sol. Fract., 104, 129-134. R.2194) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2195) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696).

To paper P.47: Chaves-Velasquez L., Patsis P. A., Puerari I., Skokos Ch. & Manos T.: 2017, "Boxy orbital structures in rotating bar models", Astroph. J., 850, 145. R.2196) Smirnov A.A, Tikhonenko I.S. & Sotnikova N. Ya.: 2021, "Face-on structure of barlenses and boxy bars: an insight from spectral dynamics", MNRAS, 502, 4689. R.2197) Chatar W., Kharbach J., Benkhali M., El Ghamari M., Benmalek M., Rezzouka A. & Ouazzani-Jamil M.: 2021, "Painlevé’s analysis, integrability and detecting chaos-order-chaos transition by the SALI and mLE methods of three-dimensional Armbruster Guckenheimer Kim galactic potential", Phys. Lett. A, 401, 127331. R.2198) Ali B., Paul D., Eckart A., Parsa M., Zajacek M., Peißker F., Subroweit M., Valencia-S M., Thomkins L. & Witzel G.: 2020, "Kinematic Structure of the Galactic Center S Cluster", Astroph. J., 896, 100. R.2199) A., Parsa M., Zajacek M., Peißker F., Subroweit M., Valencia-S. M., Thomkins L. & Witzel G.: 2020, "Kinematic Structure of the Galactic Center S Cluster", Astroph. J., 869, 100. R.2200) Parul H.D., Smirnov A.A. & Sotnikova N.Ya.: 2020, "Orbital Ingredients for Cooking X-structures in Edge-on Galaxies", Astroph. J., 895, 12. R.2201) Di Cintio P. & Casetti L.: 2019, "N-body chaos and the continuum limit in numerical simulations of self- gravitating systems, revisited", MNRAS, 489, 5876-5888. R.2202) Varri A.L., Cai M.X., Concha-Ramírez F., Dinnbier F., Lützgendorf N., Pavlík V., Rastello S., Sollima A., Wang L. & Zocchi A.: 2018, "A MODEST review", Computational Astrophysics and Cosmology, 5, 2.

To paper P.49: Achilleos V., Theocharis G. & Skokos Ch.: 2018, "Chaos and Anderson-like localization in polydisperse granular chains", Phys. Rev. E, 97, 042220. R.2203) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2204) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2205) Pikovsky A.: 2020, "Scaling of energy spreading in a disordered Ding-Dong lattice", J. Stat. Mech., 053301. R.2206) Shi X., Chaunsali R. & Yang J.: 2018, "Elastic Wannier-Stark Ladders and Bloch oscillations in 1D granular crystals", J. Appl. Phys., 123, 104904 R.2207) Kim E., Martínez A.J., Phenisee S. E., Kevrekidis P.G., Porter M.A. & Yang J.: 2018, "Direct measurement of superdiffusive energy transport in disordered granular chains", Nature Commun., 9, 640.

Ch. Skokos 82 25/09/21 To paper P.50: Senyange B. & Skokos Ch.: 2018, "Computational efficiency of symplectic integration schemes: Application to multidimensional disordered Klein-Gordon lattices", Eur. Phys. J. Sp. Top., 227, 625-643. R.2208) Singh M., Morkina A.Y., Korznikova E.A., Dubinko V.I., Terentiev D.A., Xiong D., Naimark O.B., Gani V.A. & Dmitriev S.V.: 2021, "Effect of discrete breathers on the specific heat of a nonlinear chain", J. Nonlin. Sci., 31, 12. R.2209) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2210) Hillebrand M.: 2021, "Chaotic dynamics of polyatomic systems with an emphasis on DNA ", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2102.11020). R.2211) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.2212) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.2213) Danieli C., Mithun T., Kati Y., Campbell D.K. & Flach S.: 2019, "Dynamical glass in weakly nonintegrable Klein-Gordon chains", Phys. Rev. E, 100, 032217. R.2214) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa.

To paper P.51: Senyange B., Many Manda B. & Skokos Ch.: 2018, "Characteristics of chaos evolution in one- dimensional disordered nonlinear lattices", Phys. Rev. E, 98, 052229. R.2215) Tian Z.: 2021, "Analysis and research on chaotic dynamics behaviour of wind power time series at different time scales", J. Amb. Intell. Human. Comput. (in press). R.2216) Cherroret N., Scoquart T. & Delande D.: 2021, "Coherent multiple scattering of out-of-equilibrium interacting Bose gases", Annals Phys. (in press), cond-mat.quant-gas/2102.00210. R.2217) Zhu J., Liu Y. & He D.: 2021, "Effects of interplay between disorder and anharmonicity on heat conduction", Phys. Rev. E, 103, 062121. R.2218) Hu S., Wu X. & Liang E.: 2021, "An energy-conserving integrator for conservative Hamiltonian systems with ten-dimensional phase space", Astroph. J. Supp. Ser., 253, 55. R.2219) Iomin A.: 2021, "Fractional Schrödinger equation in gravitational optics", Mod. Phys. Lett. A, 36, 2140003. R.2220) Hillebrand M.: 2021, "Chaotic dynamics of polyatomic systems with an emphasis on DNA ", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2102.11020). R.2221) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.2222) Wang J., Zhang Y. & Xiong D.: 2020, "Energy relaxation in disordered lattice φ4 system: The combined effects of disorder and nonlinearity", Chin. Phys. B, 29, 120503. R.2223) Liu Z., Wang Y., Jiang G. & Zhang L.Y.: 2020, "Design and analysis on a parallel chaos-based Hash function", Int. J. Bifurc. Chaos, 30, 2050188. R.2224) Kati Y., Yu X. & Flach S.: 2020, "Density resolved wave packet spreading in disordered Gross-Pitaevskii lattices", SciPost Phys. Core 3, 006. R.2225) Pikovsky A.: 2020, "Scaling of energy spreading in a disordered Ding-Dong lattice", J. Stat. Mech., 053301. R.2226) du Plessis J.-J.: 2019, "Chaotic Diffusion in Disordered Nonlinear Lattices", Honours Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.2227) Miranda Filho L.H., Amato M.A., Elskens Y. & Rocha Filho T.M.: 2019, "Contribution of individual degrees of freedom to Lyapunov vectors in many-body systems", Commun. Nonlin. Sci. Numer. Simulat., 74, 236–247.

To paper P.52: Hillebrand M., Kalosakas G., Schwellnus A. & Skokos Ch.: 2019, "Heterogeneity and chaos in the Peyrard-Bishop-Dauxois DNA model", Phys. Rev. E, 99, 022213. R.2228) Farzadian O., Oikonomou T. & Moradkhani M.: 2021, "Melting process of twisted DNA in a thermal bath", q- bio.BM/2108.01974. R.2229) Li Y., Chen Z., Wang Z. & Cang S.: 2021, "Nonlinear dynamics analysis of cluster-shaped conservative flows generated from a generalized thermostatted system", Chin. Phys. B, in press. R.2230) Sutantyo T.E.P., Ripai A., Abdullah Z. & Hidayat W.: 2021, "Nonlinear dynamics of modified peyrard-bishop DNA model in nosé-hoover thermostat", J. Phys.: Conf. Series, 1876, 012021. R.2231) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685).

Ch. Skokos 83 25/09/21 R.2232) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2233) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.2234) Muniz M.I., Lackey H.H., Heemstra J.M. & Weber G.: 2020, "DNA/TNA mesoscopic modeling of melting temperatures suggests weaker hydrogen bonding of CG than in DNA/RNA", Chem. Phys. Lett., 749, 137413. R.2235) Behnia S., Fathizadeh S., Javanshour E. & Nemati F.: 2020, "Light-Driven Modulation of Electrical Current through DNA Sequences: Engineering of a Molecular Optical Switch", J. Phys. Chem. B, 124, 3261-3270. R.2236) Chetverikov A.P., Ebeling W., Lakhno V.D. & Velarde M.G.: 2019, "Discrete-breather-assisted charge transport along DNA-like molecular wires", Phys. Rev. E., 100, 052203.

To paper P.53: Ngapasare A., Theocharis G., Richoux O., Skokos Ch. & Achilleos V.: 2019, "Chaos and Anderson Localisation in Disordered Classical Chains: Hertzian versus Fermi-Pasta-Ulam-Tsingou models", Phys. Rev. E, 99, 032211. R.2237) Zhu J., Liu Y. & He D.: 2021, "Effects of interplay between disorder and anharmonicity on heat conduction", Phys. Rev. E, 103, 062121. R.2238) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2239) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2240) Hillebrand M.: 2021, "Chaotic dynamics of polyatomic systems with an emphasis on DNA ", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2102.11020). R.2241) Pikovsky A.: 2020, "Scaling of energy spreading in a disordered Ding-Dong lattice", J. Stat. Mech., 053301.

To paper P.54: Danieli C., Many Manda B., Mithun T. & Skokos Ch.: 2019, "Computational efficiency of numerical integration methods for the tangent dynamics of many-body Hamiltonian systems in one and two spatial dimensions", Math. in Engineering, 1, 447-488. R.2242) Singh M., Morkina A.Y., Korznikova E.A., Dubinko V.I., Terentiev D.A., Xiong D., Naimark O.B., Gani V.A. & Dmitriev S.V.: 2021, "Effect of discrete breathers on the specific heat of a nonlinear chain", J. Nonlin. Sci., 31, 12. R.2243) Rath K., Albert C.G., Bischl B. & von Toussaint U.: 2021, "Symplectic Gaussian process regression of maps in Hamiltonian systems", Chaos, 31, 053121. R.2244) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.2245) Sun Z.-Y. & Yu X.: 2020, "Anomalous diffusion of discrete solitons driven by evolving disorder", Phys. Rev. E, 101, 062211. R.2246) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.2247) Casas F. & Escorihuela-Tomàs A.: 2020, "Composition Methods for Dynamical Systems Separable into Three Parts", Mathematics 8, 533.

To paper P.55: Many Manda B., Senyange B. & Skokos Ch.: 2020, "Chaotic wave packet spreading in two- dimensional disordered nonlinear lattices", Phys. Rev. E, 101, 032206. R.2248) Ermann L. & Shepelyansky D.L.: 2021, "Deconfinement of classical Yang-Mills color fields in a disorder potential", Chaos, 31, 093106. R.2249) Cincotta P.M., Giordano C.M., Silva R.A. & Beaugé C.: 2021, "The Shannon entropy: an efficient indicator of dynamical stability", Physica D, 417, 132816. R.2250) Hillebrand M.: 2021, "Chaotic dynamics of polyatomic systems with an emphasis on DNA ", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2102.11020). R.2251) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.2252) Kati Y., Yu X. & Flach S.: 2020, "Density resolved wave packet spreading in disordered Gross-Pitaevskii lattices", SciPost Phys. Core 3, 006.

To paper P.57: Moges H., Manos T. & Skokos Ch.: 2020, "On the behavior of the Generalized Alignment Index (GALI) method for regular motion in multidimensional Hamiltonian systems", Nonlin. Phenom. Complex Syst., 23, 153-164.

Ch. Skokos 84 25/09/21 R.2253) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696).

To paper P.59: Ngapasare A., Theocharis G., Richoux O., Skokos Ch. & Achilleos V.: 2020, "Wave propagation in a strongly disordered one-dimensional 1D phononic lattice supporting rotational waves", Phys. Rev. B, 102, 054201. R.2254) Miyazawa Y., Chong C., Kevrekidis P.G. & Yang J.: 2021, "Rogue and solitary waves in coupled phononic crystals", nlin.PS/2107.13169.

To paper P.61: Hillebrand M., Kalosakas G., Skokos Ch. & Bishop A.R.: 2020, "Distributions of bubble lifetimes and bubble lengths in DNA", Phys. Rev. E, 102, 062114. R.2255) Farzadian O., Oikonomou T. & Moradkhani M.: 2021, "Melting process of twisted DNA in a thermal bath", q- bio.BM/2108.01974. R.2256) Zoli M.: 2021, "Base pair fluctuations in helical models for nucleic acids", J. Chem. Phys. 154, 194102.

To paper P.62: Bountis A., Kaloudis K., Oikonomou Th., Many Manda B. & Skokos Ch.: 2020, "Stability properties of 1-dimensional Hamiltonian lattices with nonanalytic potentials", Int. J. Bifurc. Chaos, 30, 2030047. R.2257) Hillebrand M.: 2021, "Chaotic dynamics of polyatomic systems with an emphasis on DNA ", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2102.11020).

To paper P.63: Mithun T., Maluckov A., Many Manda B., Skokos Ch., Bishop A., Saxena A., Khare A. & Kevrekidis P. G.: 2021, "Thermalization in the one-dimensional Salerno model lattice", Phys. Rev. E, 103, 032211. R.2258) Chatterjee A.K., Kulkarni M. & Kundu A.: 2021, "Dynamical regimes of finite temperature discrete nonlinear Schrödinger chain", cond-mat.stat-mech/2106.01267.

To paper P.64: Hillebrand M., Kalosakas G., Bishop A.R. & Skokos Ch.: 2021, "Bubble lifetimes in DNA gene promoters and their mutations affecting transcription", J.Chem. Phys. (in press), q-bio.BM/2106.15244. R.2259) Farzadian O., Oikonomou T. & Moradkhani M.: 2021, "Melting process of twisted DNA in a thermal bath", q- bio.BM/2108.01974.

To paper C.1: Skokos Ch. : 1993, "Study of a 4-D mapping" in "Proc. A' Panhellenic Asron. Meeting" ed. Laskarides P.G., Athens, 491-495 (in Greek). R.2260) Contopoulos G. : 1995, "Order and Chaos in Three-Dimensional Systems", Ann. New York Acad. Sci., 751, 112-130.

To paper C.3: Skokos Ch., Contopoulos G. & Giorgilli A.: "Study of the effective stability in the restricted three body problem", 1996, in "Proc. 2nd Hellenic Astron. Conf." eds. Contadakis M. E., Hadjidemetriou J. D., Mavridis L. N. & Seiradakis J. H., Thessaloniki, 526-531. R.2261) Dvorak R. : 1998, "On the dynamics of bodies in our Planetary System", in "Reviews in Modern Astronomy 11. Stars and Galaxies", ed. Scielicke R. E., Astronomische Gesellschaft, Hamburg, 29-56.

To paper C.4: Skokos Ch., Contopoulos G. & Polymilis C. : 1996, "Non periodic orbits in a four dimensional symplectic map" in "Proc. 2nd Hellenic Astron. Conf." eds. Contadakis M. E., Hadjidemetriou J. D., Mavridis L. N. & Seiradakis J. H., Thessaloniki, 578-582. R.2262) Katsanikas M.: 2012, "The structure of phase space in galactic type rotating Hamiltonian systems with three degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek).

To paper C.6: Skokos Ch., Contopoulos G. & Polymilis C. : 1999, "Numerical study of the phase space of a four dimensional symplectic map" in "Hamiltonian systems with three or more degrees of freedom", ed. Simó C., NATO ASI Series, Series C: Mathematical and Physical Sciences, Kluwer Academic Publishers, 533, 583-587. R.2263) Zotos E.E.: 2012, "Application of new dynamical spectra of orbits in Hamiltonian systems", Nonlinear Dyn., 69, 2041-2063. R.2264) Katsanikas M.: 2012, "The structure of phase space in galactic type rotating Hamiltonian systems with three degrees of freedom", Ph.D. Thesis, Section of Astrophysics, Astronomy and Mechanics, Physics Department, Univ. of Athens (in Greek). R.2265) Katsanikas M. & Patsis P. A.: 2011, "The structure of invariant tori in a 3D galactic potential", Int. J. Bifurc. Chaos, 21, 467-496.

Ch. Skokos 85 25/09/21

To paper C.12: Skokos Ch. : 2002, "Stability types of periodic orbits of multidimensional Hamiltonian systems" in "Proceedings of the 5th Hellenic Astronomical Conference", http://www.astro.auth.gr/elaset/helasmtg/2001/proceedings.htm. R.2266) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized (GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa.

To paper C.13: Skokos Ch.: "Smaller alignment index (SALI): a new indicator distinguishing between ordered and chaotic motion", 2002, in "Proceedings of the 5th Hellenic Astronomical Conference", http://www.astro.auth.gr/elaset/helasmtg/2001/proceedings.htm. R.2267) Antonopoulos Ch.: 2007, "Stability and chaos in Hamiltonian systems of many degrees of freedom: from classical to statistical mechanics", Ph.D. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras (in Greek). R.2268) Antonopoulos Ch. : 2002, "Singularity analysis and study of the motion of the Hydrogen atom in a van der Waals Potential", M.Sc. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras, http://www.math.upatras.gr/~antonop/downloads/pdf_files/my%20masters%20thesis.pdf, (in Greek).

To paper C.15: Bountis T. C., Skokos Ch. & Vrahatis M. N. : 2002, "Computation and stability of periodic orbits of nonlinear mappings" in " Proceedings of the 4th GRACM Congress on Computational Mechanics", ed. Tsahalis D. T., Vol. II, 562-570. R.2269) Crofts J.: 2007, "Efficient method for detection of periodic orbits in chaotic maps and flows", Ph.D. Thesis, Department of Mathematics, Univ. of Leicester, nlin.CD /0706.1940.

To paper C.16: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2002, "Smaller alignment index (SALI): Detecting order and chaos in conservative dynamical systems" in "Proceedings of the 4th GRACM Congress on Computational Mechanics", ed. Tsahalis D. T., Vol. IV, 1496-1502. R.2270) Zhang T.: 2017, "Chaotic Vortex Dynamics in Bose-Einstein Condensates", M.Sc. Thesis, Department of Physics, Norwegian University of Science and Technology. R.2271) Lucarini V., Faranda D., de Freitas A.C.G.M.M., Holland M., Kuna T., Nicol M., Todd M. & Vaienti S: 2016, "Extremes and recurrence in dynamical systems", Pure and Applied Mathematics: A Wiley Series of Texts, Monographs, and Tracts, John Wiley & Sons, Inc., Hoboken, New Jersey. R.2272) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized (GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa. R.2273) Faranda D., Leoncini X. & Vaienti S.: 2014, "Mixing properties in the advection of passive tracers via recurrences and extreme value theory", Phys. Rev. E, 89, 052901. R.2274) Faranda D., Lucarini V., Turchetti G. & Vaienti S.: 2012, "Generalized extreme value distribution parameters as dynamical indicators of stability", Int. J. Bifurc. Chaos, 22, 1250276. R.2275) Faranda D., Mestre M.F. & Turchetti G.: 2012, "Analysis of round off errors with reversibility test as a dynamical indicator", Int. J. Bifurc. Chaos, 22, 1250215. R.2276) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642. R.2277) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.2278) Manos T. & Athanassoula E.: 2006, "Barred Galaxies: Studying the chaotic and ordered nature of orbits", in "Recent Advances in Astronomy and Astrophysics: 7th International Conference of the Hellenic Astronomical Society", ed. Solomos N., AIP Conference Proceedings, Vol. 848, 662-668. R.2279) Manos Th. : 2004, "Regular and chaotic dynamics of multi degrees of freedom Hamiltonian systems", M.Sc. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras, http://master.math.upatras.gr/~thanosm/Master%20Thesis.htm, (in Greek).

To paper C.19: Skokos Ch. : 2003, "Stability of periodic orbits of multidimensional Hamiltonian systems. Application to systems with four degrees of freedom" in "Order and Chaos in Non-linear Dynamical Systems, Vol. 8" eds. Bountis T. C., Ichtiaroglou S. & Pnevmatikos S., Sfakianaki K., Thessaloniki, 111-126. R.2280) Yemata Mekondjou R. M.: 2015, "Numerical investigation of chaos by the Smaller (SALI) and the Generalized (GALI) Alignment Index methods", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa.

Ch. Skokos 86 25/09/21 To paper C.20: Patsis P. A., Skokos Ch. & Athanassoula E. : 2003, "Peanuts in barred analytic potentials" in "Astrophysical Supercomputing using Particle Simulations", IAU Symp., Vol. 208, eds. Makino J. & Hut P., 437-438. R.2281) ESA-ESO Working Groups: 2008, "Report No. 4. Galactic populations, chemistry and dynamics", Chair: Turon C., Co-chair: Primas F.

To paper C.21: Skokos Ch., Antonopoulos Ch., Bountis T. C. & Vrahatis M. N. : 2003, "Smaller alignment index (SALI): Determining the ordered or chaotic nature of orbits in conservative dynamical systems" in "Proceedings of the Conference Libration Point Orbits and Applications", eds. Gómez G., Lo M. W. & Masdemont J. J., World Scientific, 653-664. R.2282) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2019, "Chaos in growing bar models", Rev. Mexic. Astron. Astrof., 55, 321-335. R.2283) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2018, "The Smaller Alignment Index (SALI) applied in a study of stellar orbits in barred galaxies potential models using the LP-VIcode", New Astr., 60, 48-60. R.2284) Caritá L.A., Rodrigues I., Puerari I. & Schiavo L.E.C.A.: 2017, "Using the SALI Method to Distinguish Chaotic and Regular Orbits in Barred Galaxies with the LP-VIcode Program", Prog. Phys., 13, 161-165. R.2285) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem", Astron. Nachr., 335, 877-885. R.2286) Manos T. & Athanassoula E.: 2011, "Regular and chaotic orbits in barred galaxies - I. Applying the SALI/GALI method to explore their distribution inseveral models", MNRAS, 415, 629-642. R.2287) Manos A.: 2008, "A study of Hamiltonian dynamics with applications to models of barred galaxies", Ph.D Thesis, Observatoire Astronomique de Marseille-Provence, Univ. de Provence (Aix-Marseille I) and Division of Applied Analysis, Department of Mathematics, Univ. of Patras. R.2288) Kovács B.: 2007, "About the efficiency of Fast Lyapunov Indicator surfaces and Small Alignment Indicator surfaces", Astron. Dept. of the Eötvös Univ., PADEU, 19, 221-236. R.2289) Manos T. & Athanassoula E.: 2006, "Barred Galaxies: Studying the chaotic and ordered nature of orbits", in "Recent Advances in Astronomy and Astrophysics: 7th International Conference of the Hellenic Astronomical Society", ed. Solomos N., AIP Conference Proceedings, Vol. 848, 662-668. R.2290) Manos Th. : 2004, "Regular and chaotic dynamics of multi degrees of freedom Hamiltonian systems", M.Sc. Thesis, Division of Applied Analysis, Department of Mathematics, Univ. of Patras, http://master.math.upatras.gr/~thanosm/Master%20Thesis.htm, (in Greek).

To paper C.22: Polymilis C., Servizi G., Skokos Ch., Turchetti G. & Vrahatis M. N. : 2003, "Locating periodic orbits by Topological Degree theory" in "Proceedings of the Conference Libration Point Orbits and Applications", eds. Gómez G., Lo M. W. & Masdemont J. J., World Scientific, 665-676. R.2291) Cvitanović P., Artuso R., Mainieri R., Tanner G. & Vattay G.: 2017, "Chapter 6: Lyapunov exponents" in online book "Chaos: Classical and Quantum. I: Deterministic Chaos", version 15.9, http://chaosbook.org/. R.2292) Steeb, W.-H.: 2011, "The nonlinear workbook: Chaos, fractals, cellular automata, genetic algorithms, gene expression programming, support vector machine, wavelets, hidden markov models, fuzzy logic with C++, java and symbolicC++ programs", 5th Edition, http://www.worldscientific.com/worldscibooks/10.1142/8050, World Scientific Publishing Co. R.2293) Gao F. & Tong H.: 2005, "Computing two linchpins of topological degree by a novel differential evolution algorithm", Int. J. Comput. Intellig. Applic., 5 (3), 335-350. R.2294) Pingel D., Schmelcher P. & Diakonos F. K. : 2004, "Stability transformation: a tool to solve nonlinear problems", Phys. Rep., 400, 67-148. R.2295) Kouptsov K. L. : 2004, "Interval propagation method for finding trajectories of chaotic maps", J. Phys. A, 37, 6491-6506.

To paper C.30: Papaphilippou Y., Farvacque L., Plouviez E., Revol J.-L., Ropert A., Laskar J. & Skokos Ch. : 2004, "Experimental frequency maps for the ESRF storage ring" in "Proceedings of the 9th European Particle Accelerator Conference EPAC’04", http://accelconf.web.cern.ch/accelconf/e04/default.htm, (ISBN 92-9083-231-2 web version), 2050-2052. R.2296) Zisopoulos P., Gasior M., Serluca M. & Sterbini G.: 2017, "Fast bunch by bunch tune measurements at the CERN PS" in "Proceedings of the 8th International Particle Accelerator Conference IPAC’17", http://accelconf.web.cern.ch/AccelConf/ipac2017/ (ISBN 978-3-95450-182-3 web version), 415-418. R.2297) Kling A. & Balewski K.: 2010, "Frequency maps at PETRA III" in "Proceedings of the 1st International Particle Accelerator Conference IPAC’10", http://accelconf.web.cern.ch/AccelConf/IPAC10/ (ISBN 978-92- 9083-352-9 web version), 2511-2513.

Ch. Skokos 87 25/09/21 To paper C.31: Bratsos A. G., Papadopoulos D. P. & Skokos Ch. : 2004, "A numerical solution of the Boussinesq equation using the Adomian method" in Lecture Series on Computer and Computational Sciences, Vol. 1 "ICCMSE 2004, International Conference of Computational Methods in Sciences and Engineering 2004", eds. Simos Th. & Maroulis G., VSP International Science Publishers, 83-86. R.2298) Hosseini M. M. & Jafari M.: 2009, "An efficient method for solving nonlinear singular initial value problems", Int. J. Computer Math., 86, 1657-1666.

To paper C.34: Tzirtzilakis E. E., Skokos Ch. & Bountis T. C. : 2005, "Numerical solution of the Boussinesq equation using spectral methods and stability of solitary wave propagation" in "Proceedings of the 1st International Conference: From Scientific Computing to Computational Engineering", ed. Tsahalis D. T., Patras Univ. Press, Vol. III, 928-933. R.2299) El-Kady M, El-Sayed S.M. & Salem H.E.: 2015, "Numerical Solutions of Coupled Nonlinear Evolution Equations via El-gendi Nodal Galerkin Method", Brit. J. Math. Comp. Sci., 5, 310-332. R.2300) Siddiqi S.S. & Arshed S.: 2014, "Quintic B-spline for the numerical solution of the good Boussinesq equation". J. Egypt. Math. Soc., 22, 209-213. R.2301) Hassan H. N.: 2010, "Numerical solution of a Boussinesq type equation using Fourier spectral methods", Zeitschrift für Ntaurforschung A, A Journal of Physical Sciences, 65a, 305-314.

To paper C.35: Antonopoulos Ch., A. Manos A. & Skokos Ch. : 2005, "SALI: an efficient indicator of chaos with application to 2 and 3 degrees of freedom Hamiltonian systems" in "Proceedings of the 1st International Conference: From Scientific Computing to Computational Engineering", ed. Tsahalis D. T., Patras Univ. Press, Vol. III, 1082-1088. R.2302) Deleanu D.: 2019, "Indicatori ai teoriei haosului", Editura NAUTICA, ISBN 978-606-681-127-9 (in Romanian). R.2303) Bhardwaj R. & Bangia A.: 2019, "Dynamic Indicator for the Prediction of Atmospheric Pollutants", Asian J. Water, Envir. Pollut., 16, 39–50. R.2304) Yan D. & Quyang T.: 2015, "New Phenomena in the Spatial Isosceles Three-Body Problem", Int. J. Bifurc. Chaos, 25, 1550116.

To paper C.38: Skokos Ch. & Papaphilippou Y. : 2008, "Non Linear Dynamics Study of the CLIC Damping Rings Using Symplectic Integrators", in "Proceedings of the 11th European Particle Accelerator Conference, EPAC08", http://accelconf.web.cern.ch/AccelConf/e08/, (ISBN 978-92-9083-315-4 web version), 682-684. R.2305) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model", https://arxiv.org/abs/1703.01328.

To paper C.39: Manos T., Skokos Ch. & Bountis T.: 2008, "Application of the Generalized Alignment Index (GALI) method to the dynamics of multi-dimensional symplectic maps" in "Chaos, Complexity and Transport: Theory and Applications. Proceedings of the CCT 07" eds. Chandre C., Leoncini X. & Zaslavsky G., World Scientific, 356-364. R.2306) Benitez P., Losada J. C., Benito R. M., Borondo F.: 2015, "Using the small alignment index chaos indicator to characterize the vibrational dynamics of a molecular system: LiNC-LiCN", Phys. Rev. E, 92, 042918. R.2307) Racoveanu O.: 2014, "Comparison of chaos detection methods in the circular restricted three-body problem", Astron. Nachr., 335, 877-885.

To paper C.40: Manos T., Skokos Ch. & Bountis T.: 2009, "Global dynamics of coupled standard maps" in "Chaos in Astronomy", Astrophysics and Space Science Proceedings, eds. Contopoulos G. & Patsis P. A., Springer-Verlag, 367-371. R.2308) Blumenthal A., Xue J. & Yang Y.: 2020, "Lyapunov exponents for random perturbations of coupled standard maps", math.DS/2004.10626. R.2309) Langer M.: 2017, "3D phase-space slices and frequency analysis for the spatial circular restricted three-body problem", M.Sc. Thesis, Fakultät für Mathematik und Naturwissenschaften, Technische Universität Dresden. R.2310) Gidea M., Gidea C & Byrd W.: 2011, "Deterministic models for simulating electrocardiographic signals", Commun. Nonlinear Sci. Numer. Simul., 16, 3871-3880.

To paper C.41: Gerlach E. & Skokos Ch.: 2011, "Comparing the efficiency of numerical techniques for the integration of variational equations", in "Dynamical Systems, Differential Equations and Applications", Discr.Cont. Dyn. Sys.-Supp. 2011 (dedicated to the 8th AIMS’ Conference), eds. Feng W., Feng Z., Grasselli M., Ibragimov A., Lu X, Siegmund S. & Voirt J., AIMS, 475-484.

Ch. Skokos 88 25/09/21 R.2311) Many Manda B.: 2021, "Nonlinear dynamics and chaos in multidimensional disordered Hamiltonian systems", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/2105.03685). R.2312) Senyange B.: 2021, "Chaotic behavior of disordered nonlinear lattices", Ph.D. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa (nlin.CD/ 2104.11696). R.2313) Ngapasare A.: 2020, "Waves in disordered and nonlinear mechanical structures", Ph.D. Thesis, Laboratoire d’Acoustique de l’Université du Mans, Université du Maine, France. R.2314) Moges H.T.: 2020, "Investigating chaos by the Generalized Alignment Index (GALI) method", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town, South Africa. R.2315) Vallejo J.C. & Sanjuan M.A.F.: 2019, "Chapter 1: Forecasting and Chaos" in "Predictability of Chaotic Dynamics. A Finite-time Lyapunov Exponents Approach. Second Edition", 1-31, Springer Series in Synergetics, Springer-Verlag, Berlin Heidelberg. R.2316) Danieli C., Mithun T., Kati Y., Campbell D.K. & Flach S.: 2019, "Dynamical glass in weakly nonintegrable Klein-Gordon chains", Phys. Rev. E, 100, 032217. R.2317) Ngapasare A.: 2017, "Dynamical Behavior of Graphene Models", M.Sc. Thesis, Department of Mathematics and Applied Mathematics, University of Cape Town. R.2318) Vallejo J.C. & Sanjuan M.A.F.: 2017, "Chapter 1: Forecasting and Chaos" in "Predictability of Chaotic Dynamics. A Finite-time Lyapunov Exponents Approach", 1-24, Springer Series in Synergetics, Springer- Verlag, Berlin Heidelberg. R.2319) Rajaobelina Iarilala E.D.: 2015, "Numerical Investigation of Chaos", Structured M.Sc. Thesis, African Institute for Mathematical Sciences (AIMS), Muizenberg, South Africa. R.2320) Mai E. & Geyer R.: 2014, "Numerical orbit integration based on Lie series with use of parallel computing techniques", Adv. Space Res., 53, 77-89. R.2321) Darriba L.A., Maffione N.P., Cincotta P.M. & Giordano C.M.: 2012, "Comparative study of variational chaos indicators and ODEs’ numerical integrators", Int. J. Bifurc. Chaos, 22, 1230033. R.2322) Li R. & Wu X.: 2011, "Application of the fourth-order three-stage symplectic integrators in chaos determination", Eur. Phys. J. Plus, 126, 73.

To paper C.42: Gerlach E., Eggl S., Skokos Ch., Bodyfelt J. D. & Papamikos G.: 2013, "High order three part split symplectic integration schemes", in "Proceedings of the 10th HSTAM International Congress on Mechanics", nlin.CD/1306.0627. R.2323) Zhou Z. & Russo G.: 2019, "The Gaussian wave packets transform for the semi-classical Schrödinger equation with vector potentials", Commun. Comput. Phys., 26, 469-505 (http://global- sci.org/intro/article_detail/cicp/13099.html, math.NA/1802.0370). R.2324) Senyange B.: 2017, "On the symplectic integration of the Klein Gordon lattice model", https://arxiv.org/abs/1703.01328. R.2325) Channell P.J.: 2014, "Hybrid symplectic integrators for relativistic particles in electric and magnetic fields", Comput. Sci. & Discov., 7, 015001.

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