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Nonlinear Dynamics And Chaos - Proceedings Of The International Workshop [Kietas viršelis]

Edited by (Kyoto Univ, Japan), Edited by (Duke Univ, Usa), Edited by (Postech, Korea), Edited by (Kaist, Korea)
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This book presents a unified picture of recent progress in diverse interdisciplinary problems of nonlinear dynamics and chaos. The major topics covered include waves, patterns and instabilities in spatially extended systems, coupled oscillations and neuronal systems, granular dynamics and complex systems, chaos control, and applications of chaos and nonlinear dynamics. The book will give researchers and graduate students interested in nonlinear dynamics a pointer on the future direction of this rapidly developing field.
Preface v Coupled Oscillations and Neuronal Systems 1(70) Phase- and Center-Manifold Reductions for Large Populations of Coupled Oscillators with Application to Non-locally Coupled Systems 3(17) Y. Kuramoto Order Function Theory of Macroscopic Phase-Locking in Globally and Weakly Coupled Limit-Cycle Oscillators 20(23) H. Daido Diffusive Interaction Leading to Dephasing of Coupled Neural Oscillators 43(8) S. K. Han C. Kurrer Y. Kuramoto Chaotic Bursting Behavior of Coupled Neural Oscillators 51(12) S. K. Han S. H. Park T. G. Yim S. Kim S. Kim Synchrony and Clustering in Two and Three Synaptically Coupled Hodgkin-Huxley Neurons with a Time Delay 63(8) S. G. Lee S. Kim H. Kook Bifurcations and Transitions in Various Models 71(30) Significance of the Tent Map Bifurcations in Continuous Media 73(7) H. T. Moon M. J. Kim New Characteristic Relations in Type-II and III Intermittency 80(6) M. O. Kim H. Lee C.-M. Kim H.-S. Pang E.-K. Lee O. J. Kwon Analytical Solution of the Logistic Equation 86(2) S. Rabinovich G. Berkolaiko S. Buldyrev A. Shehter S. Havlin Chaos Induced Transition 88(13) T. Shimizu N. Morioka Waves, Patterns and Chaotic Transport 101(56) Replicating Spots in Reaction-Diffusion Systems 103(10) K. J. Lee H. L. Swinney Hydrodynamical Effects of Chemical Waves in Quasi-Two-Dimensional Solution in Belousov-Zhabotinsky Reaction 113(8) O. Inomoto S. Kai T. Ariyoshi S. Inanaga Short-Wave Instability in Extended Systems with Additional Symmetry 121(10) M. I. Tribelsky Lagrangian Chaos in the Stokes Flow Between Two Eccentric Rotating Cylinders 131(17) T. Atobe Chaotic Transport and Anomalous Diffusion in a Planar Flow with a Chain of Vortices 148(9) T. Ahn S. Kim Granular Dynamics and Josephson Junction Arrays 157(42) The Scientist in the Sandbox: Time-Dependence, Fractals and Waves 159(16) R. P. Behringer Dynamics of Granular Compaction 175(7) H. Hayakawa D. C. Hong Ambient Gases and Heaping Instability of Granular Materials under Vertical Vibration 182(7) H. K. Pak E. Van Doorn R. P. Behringer Coherence and Complexity in Condensed Matter: Josephson Junction Arrays 189(10) D. Dominguez A. R. Bishop N. Gronbech-Jensen Noise, Stochastic Resonance, Quantum and Relativistic Systems 199(40) An Overall View of Stochastic Resonance 201(6) M. Gitterman G. H. Weiss Nonequilibrium Phenomona in Globally Coupled Phase Oscillators: Noise-Induced Bifurcations, Clustering and Switching 207(6) S. H. Park S. Kim S. K. Han Zero-Dispersion Nonlinear Resonance 213(14) S. M. Soskin D. G. Luchinsky R. Mannella A. B. Neiman P. V. E. McClintock Phase Breaking in a Quantum Billiard 227(7) T. Iitaka J. Bird M. Stopa K. Ishibashi Y. Aoyagi T. Sugano Bifurcation and Chaos in a Periodically Driven Quartic Oscillator at Relativistic Energies 234(5) S.W. Kim H.-W. Lee Chaos Control and Applications 239(26) Control of Chaotic Impacts 241(5) F. Casas C. Grebogi Analog Techniques for Modeling and Controlling the Mackey-Glass System 246(6) A. Namajunas K. Pyragas A. Tamasevicius Generation of Periodic Orbits from Chaotic Attractors of Weakly Coupled Diode Resonators 252(6) J. C. Shin S.-I. Kwon Y. Kim Control Bifurcation Structure of Return Map Control in Chuas Circuit 258(7) B.-C. Lee K.-H. Lee B.-H. Wang Applications to Electronic Circuits and Plasmas 265(62) Rule Dynamics of Electronic Turbulence in Semiconductors Caused by Impact Ionization Avalanche 267(6) K. Aoki Numerical and Analytical Study of Nonlinear Electronic Circuits 273(10) G. Bitton I. Balberg M. Gomez S. Z. Weisz Low Voltage Bifurcations in a Diode Resonator 283(6) Y. Kim J. C. Shin S.-I. Kwun Spectral Analysis of the Flow of a Neutralized Electron Beam 289(27) D. Summers H. Matsumoto T. Ohnishi Chaotic Evolution of a Parametric Instability in a Piezoelectric Semiconductor Plasma 316(11) I. Shah G. Anwar H. A. Shah T. Abdullah M. A. Alam Applications to Biological Systems 327(28) Chaos in Ionic Transport Through Membranes 329(9) Z. J. Grzywna Z. Siwy DNA Transcription Mechanism with a Moving Enzyme 338(8) J. J.-L. Ting Analog Neural Network Model Produces Chaos Similar to the Human EEG 346(9) V. E. Bondarenko Applications to Statistical Problems 355 Second Order Phase Transition in a Highly Chaotic Hamiltonian System with Many Degrees of Freedom 357(9) Y. Y. Yamaguchi Structural Criticality of Dynamical Glass State in a Spatially Extended Dynamical System 366(10) H. Hata K. Yabe Ideal Bose Gas in Fractal Dimensions 376 S.-H. Kim