Nonlinear Dynamics and Chaos: Advances and Perspectives

ISBN-13: 9783642046285 / Angielski / Twarda / 2010 / 312 str.

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Opis

This book is a collection of papers contributed by some of the greatest names in the areas of chaos and nonlinear dynamics. Each paper examines a research topic at the frontier of the area of dynamical systems. As well as reviewing recent results, each paper also discusses the future perspectives of each topic. The result is an invaluable snapshot of the state of the ?eld by some of the most important researchers in the area. The ?rst contribution in this book (the section entitled "How did you get into Chaos?") is actually not a paper, but a collection of personal accounts by a number of participants of the conference held in Aberdeen in September 2007 to honour Celso Grebogi's 60th birthday. At the instigation of James Yorke, many of the most well-known scientists in the area agreed to share their tales on how they got involved in chaos during a celebratory dinner in Celso's honour during the conference. This was recorded in video, we felt that these accounts were a valuable historic document for the ?eld. So we decided to transcribe it and include it here as the ?rst section of the book.

Spis treści

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.

Blurb

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.