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Nonlinear Dynamics and Chaos: Advances and Perspectives

by Thiel, Marco.
Authors: Kurths, Jürgen.%editor. | Romano, M. Carmen.%editor. | Károlyi, György.%editor. | Moura, Alessandro.%editor. | SpringerLink (Online service) Series: Understanding Complex Systems, 1860-0832 Physical details: XV, 293p. 16 illus. in color. online resource. ISBN: 3642046290 Subject(s): Physics. | Differentiable dynamical systems. | Systems theory. | Vibration. | Physics. | Statistical Physics, Dynamical Systems and Complexity. | Dynamical Systems and Ergodic Theory. | Vibration, Dynamical Systems, Control. | Systems Theory, Control.
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How Did You Get into Chaos? -- Singular Perturbations of Complex Analytic Dynamical Systems -- Heteroclinic Switching in Coupled Oscillator Networks: Dynamics on Odd Graphs -- Dynamics of Finite-Size Particles in Chaotic Fluid Flows -- Langevin Equation for Slow Degrees of Freedom of Hamiltonian Systems -- Stable Chaos -- Superpersistent Chaotic Transients -- Synchronization in Climate Dynamics and Other Extended Systems -- Stochastic Synchronization -- Experimental Huygens Synchronization of Oscillators -- Controlling Chaos: The OGY Method, Its Use in Mechanics, and an Alternative Unified Framework for Control of Non-regular Dynamics -- Detection of Patterns Within Randomness.

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.

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