Stability, Structures and Chaos in Nonlinear Synchronization Networks

By: V. S. Afraimovich, V. I. Nekorkin, V. D. Shalfeev, G. V. Osipov

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Hardcover | 1 December 1994

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260 Pages

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22.86 x 16.51 x 1.91

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The understanding of fields and media using discrete lattice models has been greatly aided by the advent of powerful computers. This has also led to the formulation of new and inspiring problems associated with the analysis of homogeneous discrete networks of interacting dynamical elements. This book investigates the nonlinear dynamics of peculiar discrete media made up of interconnected phase synchronization systems. After an introduction which sets out the nature of the problem, the book goes on to consider dynamic processes in chain and lattice networks, utilising both continuous and discrete synchronization systems as component elements. Computational studies aimed at oscillatory-wave phenomena will make the book valuable for specialists in radio engineering, biological excitable media and other branches of physics and biology.

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Non-Fiction Engineering & Technology Technology in General Engineering in General Maths for Engineers Mathematics Applied Mathematics Chaos Theory Science Science in General Philosophy of Science Biology, Life Sciences

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Foreword
Preface
Basic Models	p. 1
Dynamics of a Chain of Phase Lock-Loop Systems with Unidirectional Coupling	p. 13
Effect of Inertia of Elements on the Dynamics of a Flow Chain	p. 33
Chains with Mutual Coupling	p. 63
Chains with Coupling Through Phase Mismatching Signals	p. 85
Nonlinear Dynamics of Lattices	p. 107
Analysis of Stationary Synchronization Regimes	p. 127
Some Remarks on Other Kinds of Chains of Synchronization Systems	p. 145
Stability and Chaos in the Chains of Discrete Phase-Lock Loops	p. 169
Dynamics of a Ring Chain of Discrete Systems	p. 187
Order and Chaos in the Discrete Model of an Active Medium	p. 211
Results and Problems	p. 233
Table of Contents provided by Blackwell. All Rights Reserved.

Stability, Structures and Chaos in Nonlinear Synchronization Networks

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