Synchronization in coupled chaotic circuits and systems

Synchronization in coupled chaotic circuits and systems

by Wu, Chai Wah

Type Book
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This invaluable book studies synchronization of coupled chaotic circuits and systems, as well as its applications. It shows how one can use stability results in nonlinear control to derive synchronization criteria for coupled chaotic circuits and systems. It also discusses the use of Lyapunov exponents in deriving synchronization criteria. Both the case of two coupled systems and the case of arbitrarily coupled arrays of systems are considered. The book examines how synchronization properties i…

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Title Statements

  • Full title :Synchronization in coupled chaotic circuits and systems / Chai Wah Wu.

Summary

This invaluable book studies synchronization of coupled chaotic circuits and systems, as well as its applications. It shows how one can use stability results in nonlinear control to derive synchronization criteria for coupled chaotic circuits and systems. It also discusses the use of Lyapunov exponents in deriving synchronization criteria. Both the case of two coupled systems and the case of arbitrarily coupled arrays of systems are considered. The book examines how synchronization properties in arrays of coupled systems are dependent on graph-theoretical properties of the underlying coupling.

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Edition Statements

  • Publication Date:©2002.

Publication Statements

  • Publisher(s):World Scientific
  • Place of Publication:River Edge, N.J
  • Language:eng
  • Publication Date:©2002.

The Physical Object

  • Description:1 online resource (xi, 174 pages) : : illustrations

Edition Identifiers

  • ISBN:9789812778420, 981277842X, 9789810247133, 9810247133
  • oclc:ocn614463416
  • LC Classification:TK7867
  • Dewey Decimal:621.3815

Table of Contents

Preface; Contents; Chapter 1 Introduction; Chapter 2 Synchronization in Two Coupled Chaotic Systems; 2.1 Pecora-Carroll subsystem decomposition; 2.2 Separable additive coupling; 2.3 Synchronization and stability; 2.3.1 Absolute stability; 2.3.2 Lipschitz nonlinear systems; 2.3.3 Circuit theoretical criteria for asymptotical stability; 2.4 Communication and signal processing via synchronization of chaotic systems; 2.5 Synchronization of nonautonomous systems; 2.5.1 Unidirectional synchronization scheme for nonautonomous systems.

2.5.2 Mutual coupling synchronization scheme for nonautonomous systems2.5.3 Synchronization between different systems; 2.5.4 Synchronizing nonautonomous systems as communication systems; 2.6 Synchronization via a scalar signal; 2.6.1 Applications of scalar synchronization to chaotic communication system; 2.7 Adaptive synchronization; 2.7.1 A general adaptive scheme; 2.7.2 Two coupled nonlinear systems with linear parameters; 2.7.3 Two coupled nonlinear systems with multiplicative parameters; 2.7.4 Examples; 2.7.5 A generalization of the scheme in Eq. (2.35); 2.7.6 Adaptive observers.

2.8 Discrete-time systems2.9 Further reading; Chapter 3 Synchronization …

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