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Please Download the Book of Abstracts of The Edi t Editor Editor Christos H. Skiadas June 1 - 5, 2009 Chania Crete Greece i MAICh Prefecture of Chania Swets ii Introduction Chaotic Modeling and Simulation International Conference Chania, Crete (Greece) June 1 - 5, 2009 It is our pleasure to welcome the guests, participants and contributors to the 2nd International Conference (CHAOS2009) 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 CHAOS2009 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. CHAOS2009 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 CHAOS2009. Chania, May 2009 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 International Scientific Committee C. H. Skiadas (Technical University of Crete, Chania, Greece), Chair H. Adeli (The Ohio State University, USA) N. Akhmediev ( Australian National University, Australia ) M. Amabili (McGill University, Montreal, Canada) J. Awrejcewicz (Technical University of Lodz, Poland) S. Bishop (University College London, UK) T. Bountis (University of Patras, Greece) Y. S. Boutalis (Democritus University of Thrace, Greece) C. Chandre (Centre de Physique Theorique, Marseille, France) M. Christodoulou (Technical University of Crete, Chania, Crete, Greece) P. Commendatore (Universitΰ di Napoli 'Federico II', Italy) D. Dhar (Tata Institute of Fundamental Research, India) J. Dimotikalis (Technological Educational Institute, Crete, Greece) B. Epureanu (University of Michigan, Ann Arbor, MI, USA) G. Fagiolo (Sant'Anna School of Advanced Studies, Pisa, Italy) V. Grigoras (University of Iasi, Romania) L. Hong (Xi'an Jiaotong University, Xi'an, Shaanxi, China) G. Hunt (Centre for Nonlinear Mechanics, University of Bath, Bath, UK) T. Kapitaniak (Technical University of Lodz, Lodz, Poland) A. Kolesnikov (Southern Federal University, Russia) G. P. Kapoor (Indian Institute of Technology Kanpur, Kanpur, India) V. Krysko (Dept. of Math. and Modeling, Saratov State Technical University, Russia) W. Li (Northwestern Polytechnical University, China) B. L. Lan (School of Engineering, Monash University, Selangor, Malaysia) V J Law (Dublin City University, Glasnevin, Dublin, Ireland) V. Lucarini (University of Bologna, Italy) J. A. T. Machado (ISEP-Institute of Engineering of Porto, Porto, Portugal) W. M. Macek (Cardinal Stefan Wyszyński University, Warsaw, Poland) P. Mahanti (University of New Brunswick, Saint John, Canada) G. M. Mahmoud (Assiut University, Assiut, Egypt) P. Manneville (Laboratoire d'Hydrodynamique, Ecole Polytechnique, France) N. Mastorakis (Techn. Univ. of Sofia, Bulgaria and ASEI Greece) A. S. Mikhailov (Fritz Haber Institute of Max Planck Society, Berlin, Germany) M. S. M. Noorani (Universiti Kebangsaan Malaysia) G. V. Orman (Transilvania University of Brasov, Romania) S. Panchev (Bulgarian Academy of Sciences, Bulgaria) G. Pedrizzetti (University of Trieste, Trieste, Italy) F. Pellicano (Universita di Modena e Reggio Emilia, Italy) S. V. Prants (Pacific Oceanological Institute of RAS, Vladivostok, Russia) A.G. Ramm (Kansas State University, Kansas, USA) G. Rega (University of Rome "La Sapienza", Italy) H. Skiadas (Hanover College, Hanover, USA) V. Snasel (VSB-Technical University of Ostrava, Czech) D. Sotiropoulos (Technical University of Crete, Chania, Crete, Greece) B. Spagnolo (University of Palermo, Italy) P. D. Spanos (Rice University, Houston, TX, USA) J. C. Sprott (University of Wisconsin, Madison, WI, USA) S. Thurner (Medical University of Vienna, Austria) D. Trigiante (Universitΰ di Firenze, Firenze, Italy) G. Unal (Yeditepe University, Istanbul, Turkey) A. Valyaev (Nuclear Safety Institute of RAS, Russia) A. Vakakis (National Technical University of Athens, Greece) J. P. van der Weele (University of Patras, Greece) M. Wiercigroch (University of Aberdeen, Aberdeen, Scotland, UK) A. Katsirikou, Conference Secretary iv Keynote Talks Professor Marco Amabili Department of Mechanical Engineering McGill University, Montreal, Canada Chaotic Vibrations of Circular Cylindrical Shells: Garlekin versus reduced-order models Professor Jan Awrejcewicz Department of Automatics and Biomechanics, Technical University of Lodz, Lodz, Poland Deterministic Chaos Machine: Experimental vs. Numerical Investigations Professor Leon D. Iasemidis Associate Editor, Int. J. Neural Systems Director and Founder, The Brain Dynamics Laboratory The Harrington Department of Bioengineering and Electrical Engineering Arizona State University, USA Chaos, Brain and Epilepsy: A Bioengineering approach Professor Alfred Inselberg School of Mathematical Sciences Tel Aviv University Tel Aviv, Israel Multidimensional Visualization and its Applications Professor Pier A. Mello Institute of Physics Universidad Nacional Autonoma de Mexico, Mexico QUANTUM SCATTERING AND TRANSPORT IN CLASSICALLY CHAOTIC CAVITIES: An overview of Old and New Results Professor Sergey V. Prants Pacific Oceanological Institute of the Russian Academy of Sciences Vladivostok, Russia Quantum chaos with atoms in a laser field Professor Alexander G. Ramm Mathematics Department, Kansas State University Manhattan, KS 66506-2602, USA http://www.math.ksu.edu/~ramm Acoustic and electromagnetic wave scattering by many small particles and creating materials with desired properties Professor Giuseppe Rega Department of Structural Engineering and Geotechnical Engineering University of Rome 'La Sapienza', Italy Experimental unfolding and theoretical model of the transition to complex dynamics in sagged cables Professor Pol D. Spanos Department of Mechanical Engineering and Materials Science Department of Civil and Environmental Engineering Rice University, Houston, TX, USA Editor, Journal of Probabilistic Mechanics and Journal of Nonlinear Mechanics Simulation Algorithms for Nonlinear Stochastic Dynamics Problems v vi Contents Invited, Special and Contributed Sessions: Abstracts 1 – 100 CATS Workshop: Abstracts 101 – 124 Author Index 125 – vii viii 2nd Chaotic Modeling and Simulation International Conference, 1-5 June 2009, Chania Crete Greece Using a Nonnegative Matrix Factorization (NMF) for Clustering Data Hussam Dahwa Abdulla, Martin Polovincak, Vaclav Snasel Department of Computer Science, VSB – Technical University of Ostrava [email protected], [email protected], [email protected] There are many search engines in the web and when asked, they return a long list of search results, ranked by their relevancies to the given query. Web users have to go through the list and examine the titles and (short) snippets sequentially to identify their required results. In this paper we present how usage of Nonnegative Matrix Factorization (NMF) can be good solution for the search results clustering. Key Words: Matrix Decomposition, Nonnegative Matrix Factorization (NMF), search results clustering, web mining. Improved ε-expansion in theory of turbulence Calculation of Kolmogorov constant and skewness factor L.Ts. Adzhemyan, M. Hnatich, J. Honkonen University of P.J.Safarik, Kosice, Slovak republik [email protected] The method for improvement of ε-expansion in the theory of developed $d$-dimensional turbulence, based on the renormalization of random forcing in stochastic Navier-Stokes equation, has been suggested. This renormalization takes into account additional divergences, which appear as d2. The first n terms of routine ε-expansion are correctly reproduced in n-approximation of perturbation theory, which includes such a renormalization, and in the rest coefficients of this expansion the first n terms of its Loran series are correctly reproduced wit respect to the parameter d-2. The Kolmogorov constant and skewness factor calculated in the one-loop approximation are in a tolerable agreement with their most acceptable experimental values. Key Words: developed turbulence, field-theoretic methods, renormalization group, scaling, Kolmogorov konstant, skewness Analysis of multiple solutions in bifurcation diagrams to avoid unexpected dynamics Jan-Olov Aidanpää Luleå University of Technology, Div Solid Mechanics, Luleå Sweden. [email protected] In mechanical applications it is essential that unexpected dynamics are avoided. The industry wants to build reliable machines that are not sensitive to initial conditions. Therefore, a simple method has been developed to extract all sets of stable bifurcation diagrams. The method gives a designer a good overview
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