Synchronization in coupled chaotic circuits and systems /:
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 expone...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
River Edge, N.J. :
World Scientific,
©2002.
|
| Series: | World Scientific series on nonlinear science. Monographs and treatises ;
v. 41. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| 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. |
| Physical Description: | 1 online resource (xi, 174 pages) : illustrations |
| Bibliography: | Includes bibliographical references (pages 165-172) and index. |
| ISBN: | 9789812778420 981277842X 9789810247133 9810247133 |
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MARC
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| 100 | 1 | |a Wu, Chai Wah. | |
| 245 | 1 | 0 | |a Synchronization in coupled chaotic circuits and systems / |c Chai Wah Wu. |
| 260 | |a River Edge, N.J. : |b World Scientific, |c ©2002. | ||
| 300 | |a 1 online resource (xi, 174 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
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| 490 | 1 | |a World Scientific series on nonlinear science. Series A, Monographs and treatises ; |v v. 41 | |
| 504 | |a Includes bibliographical references (pages 165-172) and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Electronic circuits. |0 http://id.loc.gov/authorities/subjects/sh85042279 | |
| 650 | 0 | |a Chaotic behavior in systems. |0 http://id.loc.gov/authorities/subjects/sh85022562 | |
| 650 | 0 | |a Coupled mode theory. |0 http://id.loc.gov/authorities/subjects/sh85033491 | |
| 650 | 6 | |a Circuits électroniques. | |
| 650 | 6 | |a Chaos. | |
| 650 | 6 | |a Théorie des modes couplés. | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Electronics |x Circuits |x Integrated. |2 bisacsh | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Electronics |x Circuits |x General. |2 bisacsh | |
| 650 | 7 | |a Chaotic behavior in systems |2 fast | |
| 650 | 7 | |a Coupled mode theory |2 fast | |
| 650 | 7 | |a Electronic circuits |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Wu, Chai Wah. |t Synchronization in coupled chaotic circuits and systems. |d River Edge, N.J. : World Scientific, ©2002 |w (DLC) 2002279811 |
| 830 | 0 | |a World Scientific series on nonlinear science. |n Series A, |p Monographs and treatises ; |v v. 41. |0 http://id.loc.gov/authorities/names/no94008495 | |
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| 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. |
| ctrlnum | (OCoLC)614463416 |
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| dewey-ones | 621 - Applied physics |
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| dewey-search | 621.3815 |
| dewey-sort | 3621.3815 |
| dewey-tens | 620 - Engineering and allied operations |
| discipline | Elektrotechnik / Elektronik / Nachrichtentechnik |
| format | Electronic eBook |
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ind2=" "><subfield code="a">River Edge, N.J. :</subfield><subfield code="b">World Scientific,</subfield><subfield code="c">©2002.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xi, 174 pages) :</subfield><subfield code="b">illustrations</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">World Scientific series on nonlinear science. Series A, Monographs and treatises ;</subfield><subfield code="v">v. 41</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references (pages 165-172) and index.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="505" ind1="8" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Electronic circuits.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85042279</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Chaotic behavior in systems.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85022562</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Coupled mode theory.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85033491</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Circuits électroniques.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Chaos.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Théorie des modes couplés.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">TECHNOLOGY & ENGINEERING</subfield><subfield code="x">Electronics</subfield><subfield code="x">Circuits</subfield><subfield code="x">Integrated.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">TECHNOLOGY & ENGINEERING</subfield><subfield code="x">Electronics</subfield><subfield code="x">Circuits</subfield><subfield code="x">General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Chaotic behavior in systems</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Coupled mode theory</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Electronic circuits</subfield><subfield code="2">fast</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Wu, Chai Wah.</subfield><subfield code="t">Synchronization in coupled chaotic circuits and systems.</subfield><subfield code="d">River Edge, N.J. : World Scientific, ©2002</subfield><subfield code="w">(DLC) 2002279811</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">World Scientific series on nonlinear science.</subfield><subfield code="n">Series A,</subfield><subfield code="p">Monographs and treatises ;</subfield><subfield code="v">v. 41.</subfield><subfield code="0">http://id.loc.gov/authorities/names/no94008495</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-862</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210650</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="966" ind1="4" ind2="0"><subfield code="l">DE-863</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=210650</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="936" ind1=" " ind2=" "><subfield code="a">BATCHLOAD</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">cloudLibrary</subfield><subfield code="b">CLDL</subfield><subfield code="n">9789812778420</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH24684817</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL1679753</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ebrary</subfield><subfield code="b">EBRY</subfield><subfield code="n">ebr10201263</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">210650</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest MyiLibrary Digital eBook Collection</subfield><subfield code="b">IDEB</subfield><subfield code="n">cis26007448</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2733798</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-862</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-863</subfield></datafield></record></collection> |
| id | ZDB-4-EBA-ocn614463416 |
| illustrated | Illustrated |
| indexdate | 2025-04-11T08:36:43Z |
| institution | BVB |
| isbn | 9789812778420 981277842X 9789810247133 9810247133 |
| language | English |
| oclc_num | 614463416 |
| open_access_boolean | |
| owner | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-862 DE-BY-FWS DE-863 DE-BY-FWS |
| physical | 1 online resource (xi, 174 pages) : illustrations |
| psigel | ZDB-4-EBA FWS_PDA_EBA ZDB-4-EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | World Scientific, |
| record_format | marc |
| series | World Scientific series on nonlinear science. Monographs and treatises ; |
| series2 | World Scientific series on nonlinear science. Series A, Monographs and treatises ; |
| spelling | Wu, Chai Wah. Synchronization in coupled chaotic circuits and systems / Chai Wah Wu. River Edge, N.J. : World Scientific, ©2002. 1 online resource (xi, 174 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 41 Includes bibliographical references (pages 165-172) and index. Print version record. 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. 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. Electronic circuits. http://id.loc.gov/authorities/subjects/sh85042279 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Coupled mode theory. http://id.loc.gov/authorities/subjects/sh85033491 Circuits électroniques. Chaos. Théorie des modes couplés. TECHNOLOGY & ENGINEERING Electronics Circuits Integrated. bisacsh TECHNOLOGY & ENGINEERING Electronics Circuits General. bisacsh Chaotic behavior in systems fast Coupled mode theory fast Electronic circuits fast Print version: Wu, Chai Wah. Synchronization in coupled chaotic circuits and systems. River Edge, N.J. : World Scientific, ©2002 (DLC) 2002279811 World Scientific series on nonlinear science. Series A, Monographs and treatises ; v. 41. http://id.loc.gov/authorities/names/no94008495 |
| spellingShingle | Wu, Chai Wah Synchronization in coupled chaotic circuits and systems / World Scientific series on nonlinear science. Monographs and treatises ; 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. Electronic circuits. http://id.loc.gov/authorities/subjects/sh85042279 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Coupled mode theory. http://id.loc.gov/authorities/subjects/sh85033491 Circuits électroniques. Chaos. Théorie des modes couplés. TECHNOLOGY & ENGINEERING Electronics Circuits Integrated. bisacsh TECHNOLOGY & ENGINEERING Electronics Circuits General. bisacsh Chaotic behavior in systems fast Coupled mode theory fast Electronic circuits fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85042279 http://id.loc.gov/authorities/subjects/sh85022562 http://id.loc.gov/authorities/subjects/sh85033491 |
| title | Synchronization in coupled chaotic circuits and systems / |
| title_auth | Synchronization in coupled chaotic circuits and systems / |
| title_exact_search | Synchronization in coupled chaotic circuits and systems / |
| title_full | Synchronization in coupled chaotic circuits and systems / Chai Wah Wu. |
| title_fullStr | Synchronization in coupled chaotic circuits and systems / Chai Wah Wu. |
| title_full_unstemmed | Synchronization in coupled chaotic circuits and systems / Chai Wah Wu. |
| title_short | Synchronization in coupled chaotic circuits and systems / |
| title_sort | synchronization in coupled chaotic circuits and systems |
| topic | Electronic circuits. http://id.loc.gov/authorities/subjects/sh85042279 Chaotic behavior in systems. http://id.loc.gov/authorities/subjects/sh85022562 Coupled mode theory. http://id.loc.gov/authorities/subjects/sh85033491 Circuits électroniques. Chaos. Théorie des modes couplés. TECHNOLOGY & ENGINEERING Electronics Circuits Integrated. bisacsh TECHNOLOGY & ENGINEERING Electronics Circuits General. bisacsh Chaotic behavior in systems fast Coupled mode theory fast Electronic circuits fast |
| topic_facet | Electronic circuits. Chaotic behavior in systems. Coupled mode theory. Circuits électroniques. Chaos. Théorie des modes couplés. TECHNOLOGY & ENGINEERING Electronics Circuits Integrated. TECHNOLOGY & ENGINEERING Electronics Circuits General. Chaotic behavior in systems Coupled mode theory Electronic circuits |
| work_keys_str_mv | AT wuchaiwah synchronizationincoupledchaoticcircuitsandsystems |