1.

Record Nr.

UNINA9910810291603321

Autore

Wu Chai Wah

Titolo

Synchronization in coupled chaotic circuits and systems / / Chai Wah Wu

Pubbl/distr/stampa

River Edge, N.J., : World Scientific, c2002

ISBN

981-277-842-X

Edizione

[1st ed.]

Descrizione fisica

1 online resource (187 p.)

Collana

World Scientific series on nonlinear science. Series A, Monographs and treatises ; ; v. 41

Disciplina

621.3815

Soggetti

Electronic circuits

Chaotic behavior in systems

Coupled mode theory

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references (p. 165-172) and index.

Nota di contenuto

Contents               ; Preface              ; 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 systems                                                                             2.5.3 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 systems                                ; 2.9 Further reading                          ; Chapter 3 Synchronization in Coupled Arrays of Chaotic Systems                                                                     ; 3.1 Uniform linear static coupling                                         ; 3.1.1 G is normal                        ; 3.1.2 G is symmetric

3.1.3 General G

Sommario/riassunto

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