Edi t Editor Editor Christos H. Skiadas June 1 - 4, 2010 Chania Crete Greece MAICh Prefecture of Chania Swets ii Introduction Chaotic Modeling and Simulation International Conference Chania, Crete (Greece) June 1 - 4, 2010 It is our pleasure to welcome the guests, participants and contributors to the 3nd International Conference (CHAOS2010) on Chaotic Modeling, Simulation and Applications. The study of nonlinear systems and dynamics has emerged as a major area of interdisciplinary research and found very interesting applications. This conference is intended to provide a widely selected forum among Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and in Engineering Sciences. The principal aim of CHAOS2010 International Conference is to expand the development of the theories of the applied nonlinear field, the methods and the empirical data and computer techniques, and the best theoretical achievements of chaotic theory as well. CHAOS2010 Conference provides a forum for bringing the various groups working in the area of Nonlinear Systems and Dynamics, Chaotic theory and Application for exchanging views and reporting research findings. We thank all the contributors to the success of this conference and especially the authors of this Book of Abstracts of CHAOS 2010. Chania, May 2010 Christos H. Skiadas Conference Chair iii Honorary Committee David Ruelle Academie des Sciences de Paris Honorary Professor at the Institut des Hautes Etudes Scientifiques of Bures-sur-Yvette, France Leon O. Chua EECS Department, University of California, Berkeley, USA Editor of the International Journal of Bifurcation and Chaos Ji-Huan He Donghua University, Shanghai, China Editor of Int. Journal of Nonlinear Sciences and Numerical Simulation Gannady A. Leonov Dean of Mathematics and Mechanics Faculty, Saint-Petersburg State University, Russia Member (corresponding) of Russian Academy of Science Ferdinand Verhulst Mathematics Faculty, Utrecht, The Netherlands International Scientific Committee C. H. Skiadas (Technical University of Crete, Chania, Greece), V J Law (Dublin City University, Glasnevin, Dublin, Ireland) Chair V. Lucarini (University of Bologna, Italy) H. Adeli (The Ohio State University, USA) J. A. T. Machado (ISEP-Institute of Engineering of Porto, Porto, J.-O. Aidanpaa (Division of Solid Mechanics, Lulea University of Portugal) Technology, Sweden) W. M. Macek (Cardinal Stefan Wyszynski University, Warsaw, N. Akhmediev ( Australian National University, Australia ) Poland) M. Amabili (McGill University, Montreal, Canada) P. Mahanti (University of New Brunswick, Saint John, Canada) J. Awrejcewicz (Technical University of Lodz, Poland) G. M. Mahmoud (Assiut University, Assiut, Egypt) J. M. Balthazar (UNESP-Rio Claro, State University of Sao P. Manneville (Laboratoire d'Hydrodynamique, Ecole Paulo, Brasil) Polytechnique, France) S. Bishop (University College London, UK) A. S. Mikhailov (Fritz Haber Institute of Max Planck Society, T. Bountis (University of Patras, Greece) Berlin, Germany) Y. S. Boutalis (Democritus University of Thrace, Greece) E. R. Miranda (University of Plymouth, UK) C. Chandre (Centre de Physique Theorique, Marseille, France) M. S. M. Noorani (University Kebangsaan Malaysia) M. Christodoulou (Technical University of Crete, Chania, Crete, G. V. Orman (Transilvania University of Brasov, Romania) Greece) S. Panchev (Bulgarian Academy of Sciences, Bulgaria) P. Commendatore (Universit? di Napoli 'Federico II', Italy) G. Pedrizzetti (University of Trieste, Trieste, Italy) D. Dhar (Tata Institute of Fundamental Research, India) F. Pellicano (Universita di Modena e Reggio Emilia, Italy) J. Dimotikalis (Technological Educational Institute, Crete, S. V. Prants (Pacific Oceanological Institute of RAS, Vladivostok, Greece) Russia) B. Epureanu (University of Michigan, Ann Arbor, MI, USA) A.G. Ramm (Kansas State University, Kansas, USA) G. Fagiolo (Sant'Anna School of Advanced Studies, Pisa, Italy) G. Rega (University of Rome "La Sapienza", Italy) V. Grigoras (University of Iasi, Romania) H. Skiadas (Hanover College, Hanover, USA) K. Hagan, University of Limerick, Ireland V. Snasel (VSB-Technical University of Ostrava, Czech) L. Hong (Xi'an Jiaotong University, Xi'an, Shaanxi, China) D. Sotiropoulos (Technical University of Crete, Chania, Crete, G. Hunt (Centre for Nonlinear Mechanics, University of Bath, Greece) Bath, UK) B. Spagnolo (University of Palermo, Italy) T. Kapitaniak (Technical University of Lodz, Lodz, Poland) P. D. Spanos (Rice University, Houston, TX, USA) G. P. Kapoor (Indian Institute of Technology Kanpur, Kanpur, J. C. Sprott (University of Wisconsin, Madison, WI, USA) India) S. Thurner (Medical University of Vienna, Austria) A. Katsirikou, (University of Piraeus, Library) Conference D. Trigiante (Universit? di Firenze, Firenze, Italy) Secretary G. Unal (Yeditepe University, Istanbul, Turkey) A. Kolesnikov (Southern Federal University, Russia) A. Valyaev (Nuclear Safety Institute of RAS, Russia) J. Kretz (University of Music and Performing Arts, Vienna, Austria) A. Vakakis (National Technical University of Athens, Greece) V. Krysko (Dept. of Math. and Modeling, Saratov State Technical J. P. van der Weele (University of Patras, Greece) University, Russia) M. Wiercigroch (University of Aberdeen, Aberdeen, Scotland, W. Li (Northwestern Polytechnical University, China) UK) B. L. Lan (School of Engineering, Monash University, Selangor, M. V. Zakrzhevsky (Institute of Mechanics, Riga Technical Malaysia) University, Latvia) iv Keynote Talks Gennady Leonov Member (corresponding) of Russian Academy of Science Dean of Mathematics and Mechanics Faculty Saint-Petersburg State University, Russia Attractors, limit cycles and homoclinic orbits of low dimensional quadratic systems Sergey V. Prants Laboratory of Nonlinear Dynamical Systems Pacific Oceanological Institute of the Russian Academy of Sciences Vladivostok, Russia De Broglie-wave chaos Alexander G. Ramm Mathematics Department, Kansas State University Manhattan, KS 66506-2602, USA http://www.math.ksu.edu/~ramm Scattering by many small inhomogeneities Valentin V. Sokolov Budker Institute of Nuclear Physics and Novosibirsk Technical University Novosibirsk, Russia Classical Versus Quantum Dynamical Chaos: Sensitivity to External Perturbations, Stability and Reversibility v vi Contents Authors Title Page Mina B. Abd-el-Malek, Solution of Burgers’ equation via Lie-group analysis 1 Hossam S. Hassan Jan-Olov Aidanpää and Dynamics of a Rubbing Jeffcott Rotor with Three 1 Göran Lindkvist Blades M. Amabili, K. Karagiozis, S. Nonlinear vibration of plates with different boundary 1 Farhadi, K. Khorshidi conditions using higher order theory Ivan L.Andronov Chaos, Quasi-Periodicity and Multi-Periodicity in 2 Stars: Mathematical Modeling, Physical Theory vs Astronomical Observations Dorota Aniszewska, Marek Exploring process of fibre breaking in NOL samples of 2 Rybaczuk composite during quasi-static process of fracture Raina Arora, Nita Parekh Controlling Dynamical Networks 3 Artemyev A.V., Neishtadt The peculiarities of the motion of charged particle in 4 A.I., Zelenyi L.M space plasma configuration George Atsalakis and Forecasting the diffusion of technology 4 Christos H. Skiadas Minos Axenides and Strange Attractors in Dissipative Nambu Mechanics 4 Emmanouel Floratos L.N. Bagautdinova, F.M. The turbulent phase of the multichannel discharge 5 Gaisin, E.E. Son burning with the electrolytic cathode Zygmunt Bak Modulated fractals as the projections of the (+)-D 5 fractals Jayanta K. Bhattacharjee, A Methodology for Classifying Periodic Orbits 6 Sagar Chakraborty and Amartya Sarkar Barbashin M. U. Ethnicity and Ethnic Processes: The Chaos Theory 6 R.Sh.Basyrov, Al.F.Gaysin Turbulent mixing in Gas Vapor Discharge Plasma with 7 jet electrolyte cathode Biri Venceslas, Giroud Using chaotic maps for heterogeneous fog rendering 7 Anthony in computer graphics Katarzyna Bizon, Gaetano Model reduction by empirical spectral methods via 7 Continillo and Marek sampling of chaotic orbits Berezowski A. Bogomolov, S. Escaping rate statistics for two chaotic systems in 8 Pavluchenko, A. Toporensky astrophysics Yu.L.Bolotin, Over-barrier decay of the mixed state in multi-well 8 V.A.Cherkaskiy, potentials G.I.Ivashkevich vii Volodymyr Bondarenko and Record keeping of systems of random engineering 9 Iryna Kovalevska characteristics of support during calculation of under border stresses of the rocks D. Borgogno, D. Grasso, F. Lagrangian coherent structures in three-dimensional 9 Pegoraro, T.J. Schep collisionless magnetic reconnection events Wojciech Borkowski & Can artificial neural networks mimic arbitrary 9 Andrzej Nowak dynamics? Vitalii V. Breus Chaos in Cataclysmic Variables: Spin Pulses in 10 Intermediate Polars O. Cakar, O. O. Aybar, A. S. Chaoticity in the Time Evolution of Foreign Currency 10 Hacinliyan, I. Kusbeyzi Exchange Rates in Turkey Acilina Caneco, Clara Grácio Symbolic dynamics and chaotic synchronization 12 and J. Leonel Rocha Alberto Carrassi and Accounting for model error in data assimilation 12 Stephane Vannitsem N. D. Chavda, V. Potbhare Transition form Poisson to GOE in Finite Interacting 13 Boson System (using one- plus two-body random matrix ensembles with spin) N. D. Chavda, V. Potbhare Average-fluctuation separation in Finite Interacting 13 Boson System (using one- plus two-body random matrix ensembles with spin) N.I. Chernobrovkina Legal chaos as the result of interaction