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Synchronization

A Universal Concept in Nonlinear Sciences

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Paperback | 16 June 2003

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432 Pages

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First recognized in 1665 by Christiaan Huygens, synchronization phenomena are abundant in science, nature, engineering and social life. Systems as diverse as clocks, singing crickets, cardiac pacemakers, firing neurons and applauding audiences exhibit a tendency to operate in synchrony. These phenomena are universal and can be understood within a common framework based on modern nonlinear dynamics. The first half of this book describes synchronization without formulae, and is based on qualitative intuitive ideas. The main effects are illustrated with experimental examples and figures, and the historical development is outlined. The remainder of the book presents the main effects of synchronization in a rigorous and systematic manner, describing classical results on synchronization of periodic oscillators, and recent developments in chaotic systems, large ensembles, and oscillatory media. This comprehensive book will be of interest to a broad audience, from graduate students to specialist researchers in physics, applied mathematics, engineering and natural sciences.

Industry Reviews

'... the authors ... have pulled off a very difficult trick, that of writing a book that is both a definitive introduction to synchronization for the casual reader and a definitive text for researchers working in a variety of fields.' William Ditto, Nature '... has all the hallmarks of a classic. It is currently unique ... Every scientist working in the area will want a copy of this book, and every science librarian should buy one. No doubt it will run through many editions, and deservedly.' Contemporary Physics 'In an unconventional but excellent pedagogical choice, Arkady Pikovsky, Michael Rosenblum and Jurgen Kurths begin by discussing synchronization without resorting to equations. It succeeds brilliantly.' Physics Today '... stands out from the word ...' Mathematics Today

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You Can Find This Book In

Non-Fiction Mathematics Calculus & Mathematical Analysis Engineering & Technology Technology in General Engineering in General Science Physics Applied Mathematics Nonlinear Science Reference, Information & Interdisciplinary Subjects Research & Information

Information theory Cybernetics & Systems Theory

Cycling attractors of coupled cell systems and dynamics with symmetry	p. 5
Modelling diversity by chaos and classification by synchronization	p. 25
Basic Principles of Direct Chaotic Communications	p. 41
Prevalence of Milnor Attractors and Chaotic Itinerancy in 'High'-dimensional Dynamical Systems	p. 65
Generalization of the Feigenbaum-Kadanoff-Shenker Renormalization and Critical Phenomena Associated with the Golden Mean Quasiperiodicity	p. 79
Synchronization and clustering in ensembles of coupled chaotic oscillators	p. 101
Nonlinear Phenomena in Nephron-Nephron Interaction	p. 139
Synchrony in Globally Coupled Chaotic, Periodic, and Mixed Ensembles of Dynamical Units	p. 175
Phase synchronization of regular and chaotic self-sustained oscillators	p. 187
Control of dynamical systems via time-delayed feedback and unstable controller	p. 221
Index	p. 257
Table of Contents provided by Ingram. All Rights Reserved.

Synchronization

A Universal Concept in Nonlinear Sciences

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

You Can Find This Book In

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