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Nonlinear Dynamics and Chaos: Advances and Perspectives

✍ Scribed by Marco Thiel, Jürgen Kurths, M. Carmen Romano (auth.), Marco Thiel, Jürgen Kurths, M. Carmen Romano, György Károlyi, Alessandro Moura (eds.)

Publisher
Springer-Verlag Berlin Heidelberg
Year
2010
Tongue
English
Leaves
302
Series
Understanding Complex Systems
Edition
1
Category
Library
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✦ Synopsis

This book is a collection of contributions on various aspects of active frontier research in the field of dynamical systems and chaos.

Each chapter examines a specific research topic and, in addition to reviewing recent results, also discusses future perspectives.

The result is an invaluable snapshot of the state of the field by some of its most important researchers.

The first contribution in this book, "How did you get into Chaos?", is actually a collection of personal accounts by a number of distinguished scientists on how they entered the field of chaos and dynamical systems, featuring comments and recollections by James Yorke, Harry Swinney, Floris Takens, Peter Grassberger, Edward Ott, Lou Pecora, Itamar Procaccia, Michael Berry, Giulio Casati, Valentin Afraimovich, Robert MacKay, and last but not least, Celso Grebogi, to whom this volume is dedicated.

✦ Table of Contents

Front Matter....Pages i-xv
How Did You Get into Chaos?....Pages 1-12
Singular Perturbations of Complex Analytic Dynamical Systems....Pages 13-29
Heteroclinic Switching in Coupled Oscillator Networks: Dynamics on Odd Graphs....Pages 31-50
Dynamics of Finite-Size Particles in Chaotic Fluid Flows....Pages 51-87
Langevin Equation for Slow Degrees of Freedom of Hamiltonian Systems....Pages 89-102
Stable Chaos....Pages 103-129
Superpersistent Chaotic Transients....Pages 131-152
Synchronization in Climate Dynamics and Other Extended Systems....Pages 153-176
Stochastic Synchronization....Pages 177-193
Experimental Huygens Synchronization of Oscillators....Pages 195-209
Controlling Chaos: The OGY Method, Its Use in Mechanics, and an Alternative Unified Framework for Control of Non-regular Dynamics....Pages 211-269
Detection of Patterns Within Randomness....Pages 271-289
Back Matter....Pages 291-293

✦ Subjects

Statistical Physics, Dynamical Systems and Complexity;Dynamical Systems and Ergodic Theory;Vibration, Dynamical Systems, Control;Systems Theory, Control

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