Coverart for item
The Resource Synchronization in coupled chaotic circuits and systems, Chai Wah Wu

Synchronization in coupled chaotic circuits and systems, Chai Wah Wu

Label
Synchronization in coupled chaotic circuits and systems
Title
Synchronization in coupled chaotic circuits and systems
Statement of responsibility
Chai Wah Wu
Creator
Subject
Genre
Language
eng
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
Member of
Cataloging source
CaPaEBR
http://library.link/vocab/creatorName
Wu, Chai Wah
Dewey number
621.3815
Illustrations
illustrations
Index
index present
LC call number
TK7867
LC item number
.W82 2002eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
World Scientific series on nonlinear science. Series A, Monographs and treatises
Series volume
v. 41
http://library.link/vocab/subjectName
  • Electronic circuits
  • Chaotic behavior in systems
  • Coupled mode theory
  • TECHNOLOGY & ENGINEERING
  • TECHNOLOGY & ENGINEERING
  • Chaotic behavior in systems
  • Coupled mode theory
  • Electronic circuits
Label
Synchronization in coupled chaotic circuits and systems, Chai Wah Wu
Instantiates
Publication
Bibliography note
Includes bibliographical references (pages 165-172) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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 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; 3.2 Uniform nonlinear static coupling; 3.3 From stability results to synchronization criteria in coupled arrays; 3.4 Discrete-time systems; Chapter 4 Synchronization in Coupled Arrays: Dynamic Coupling; 4.1 Synchronization of clusters; 4.2 Regular and uniform hypergraphs in linearly coupled arrays; 4.3 Two identical systems coupled by dynamic coupling
  • Chapter 5 Graph Topology and Synchronization5.1 Some coupling configurations; 5.2 Continuous time systems; 5.3 Discrete-time systems; 5.4 Graph coloring via synchronized array of coupled oscillators; 5.4.1 Coloring two-colorable graphs; 5.4.2 Coloring arbitrary graphs; 5.4.3 Antivoter model for graph coloring; 5.4.4 Calculating the star chromatic number of a graph; Chapter 6 Lyapunov Exponents Approach to Synchronization; 6.1 Continuous-time systems; 6.2 Discrete-time systems; 6.3 Three oscillator universal probe for determining synchronization in coupled arrays
  • Appendix A Some Linear Systems Theory and Matrix TheoryAppendix B Graph Theoretical Definitions and Notations; Appendix C Stability Lyapunov's Direct Method and Lyapunov Exponents; C.l Lyapunov function and Lyapunov's direct or second method; C.2 Lyapunov exponents; Appendix D Chaotic Circuits and Systems; D.l Nonautonomous chaotic circuits and systems; D.l.l Circuit 1; D.1.2 Circuit 2; D.2 Autonomous chaotic circuits and systems; D.2.1 Chua's oscillator; D.2.2 Piecewise-linear Rossler system; D.2.3 Hyperchaotic electronic circuit; D.2.4 Hyperchaotic Rossler system; Bibliography; Index
Control code
614463416
Dimensions
unknown
Extent
1 online resource (xi, 174 pages)
Form of item
online
Isbn
9789812778420
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)614463416
Label
Synchronization in coupled chaotic circuits and systems, Chai Wah Wu
Publication
Bibliography note
Includes bibliographical references (pages 165-172) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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 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; 3.2 Uniform nonlinear static coupling; 3.3 From stability results to synchronization criteria in coupled arrays; 3.4 Discrete-time systems; Chapter 4 Synchronization in Coupled Arrays: Dynamic Coupling; 4.1 Synchronization of clusters; 4.2 Regular and uniform hypergraphs in linearly coupled arrays; 4.3 Two identical systems coupled by dynamic coupling
  • Chapter 5 Graph Topology and Synchronization5.1 Some coupling configurations; 5.2 Continuous time systems; 5.3 Discrete-time systems; 5.4 Graph coloring via synchronized array of coupled oscillators; 5.4.1 Coloring two-colorable graphs; 5.4.2 Coloring arbitrary graphs; 5.4.3 Antivoter model for graph coloring; 5.4.4 Calculating the star chromatic number of a graph; Chapter 6 Lyapunov Exponents Approach to Synchronization; 6.1 Continuous-time systems; 6.2 Discrete-time systems; 6.3 Three oscillator universal probe for determining synchronization in coupled arrays
  • Appendix A Some Linear Systems Theory and Matrix TheoryAppendix B Graph Theoretical Definitions and Notations; Appendix C Stability Lyapunov's Direct Method and Lyapunov Exponents; C.l Lyapunov function and Lyapunov's direct or second method; C.2 Lyapunov exponents; Appendix D Chaotic Circuits and Systems; D.l Nonautonomous chaotic circuits and systems; D.l.l Circuit 1; D.1.2 Circuit 2; D.2 Autonomous chaotic circuits and systems; D.2.1 Chua's oscillator; D.2.2 Piecewise-linear Rossler system; D.2.3 Hyperchaotic electronic circuit; D.2.4 Hyperchaotic Rossler system; Bibliography; Index
Control code
614463416
Dimensions
unknown
Extent
1 online resource (xi, 174 pages)
Form of item
online
Isbn
9789812778420
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
illustrations
Specific material designation
remote
System control number
(OCoLC)614463416

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