Nonlinear Dynamics and Chaos

by Thiel, Marco; Kurths, Jurgen; Romano, M. Carmen; Moura, Alessandro; Karolyi, Gyorgy

• ISBN13: 9783642046285
• ISBN10: 3642046282
• Format: Hardcover
• Copyright: 2010-08-07
• Publisher: Springer Verlag

Summary

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

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