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Stability, Structures and Chaos in Nonlinear Synchronization Networks : World Scientific Series in 20th Century Chemistry - V. S. Afraimovich

Stability, Structures and Chaos in Nonlinear Synchronization Networks

World Scientific Series in 20th Century Chemistry

Hardcover Published: 1995
ISBN: 9789810218225
Number Of Pages: 260

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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.

Foreword
Preface
Basic Modelsp. 1
Dynamics of a Chain of Phase Lock-Loop Systems with Unidirectional Couplingp. 13
Effect of Inertia of Elements on the Dynamics of a Flow Chainp. 33
Chains with Mutual Couplingp. 63
Chains with Coupling Through Phase Mismatching Signalsp. 85
Nonlinear Dynamics of Latticesp. 107
Analysis of Stationary Synchronization Regimesp. 127
Some Remarks on Other Kinds of Chains of Synchronization Systemsp. 145
Stability and Chaos in the Chains of Discrete Phase-Lock Loopsp. 169
Dynamics of a Ring Chain of Discrete Systemsp. 187
Order and Chaos in the Discrete Model of an Active Mediump. 211
Results and Problemsp. 233
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789810218225
ISBN-10: 9810218222
Series: World Scientific Series in 20th Century Chemistry
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 260
Published: 1995
Country of Publication: SG
Dimensions (cm): 22.86 x 16.51  x 1.91
Weight (kg): 0.52

Earn 336 Qantas Points
on this Book