LEADER 00000cam a2200697Ma 4500 001 ocn614463416 003 OCoLC 005 20160527041203.8 006 m o d 007 cr cn||||||||| 008 020514s2002 njua ob 001 0 eng d 019 181368926|a277199799|a465656149|a474828711|a647683677 |a868641715|a879074250|a888835053 020 9789812778420|q(electronic book) 020 981277842X|q(electronic book) 020 9789810247133 020 9810247133 020 |z9810247133 035 (OCoLC)614463416|z(OCoLC)181368926|z(OCoLC)277199799 |z(OCoLC)465656149|z(OCoLC)474828711|z(OCoLC)647683677 |z(OCoLC)868641715|z(OCoLC)879074250|z(OCoLC)888835053 040 CaPaEBR|beng|epn|cADU|dE7B|dOCLCQ|dCOCUF|dN$T|dYDXCP |dDKDLA|dOCLCQ|dOCLCO|dIDEBK|dOCLCA|dOCLCF|dEBLCP|dI9W |dOCLCQ 049 RIDW 050 4 TK7867|b.W82 2002eb 072 7 TEC|x008020|2bisacsh 072 7 TEC|x008010|2bisacsh 082 04 621.3815|222 090 TK7867|b.W82 2002eb 100 1 Wu, Chai Wah.|0https://id.loc.gov/authorities/names/ n2004017444 245 10 Synchronization in coupled chaotic circuits and systems / |cChai Wah Wu. 264 1 River Edge, N.J. :|bWorld Scientific,|c[2002] 264 4 |c©2002 300 1 online resource (xi, 174 pages) :|billustrations. 336 text|btxt|2rdacontent 337 computer|bc|2rdamedia 338 online resource|bcr|2rdacarrier 340 |gpolychrome|2rdacc 347 text file|2rdaft 490 1 World Scientific series on nonlinear science. Series A, Monographs and treatises ;|vv. 41 504 Includes bibliographical references (pages 165-172) and index. 505 0 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 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 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 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 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 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. 588 0 Print version record. 590 eBooks on EBSCOhost|bEBSCO eBook Subscription Academic Collection - North America 650 0 Electronic circuits.|0https://id.loc.gov/authorities/ subjects/sh85042279 650 0 Chaotic behavior in systems.|0https://id.loc.gov/ authorities/subjects/sh85022562 650 0 Coupled mode theory.|0https://id.loc.gov/authorities/ subjects/sh85033491 650 7 Electronic circuits.|2fast|0https://id.worldcat.org/fast/ 906874 650 7 Chaotic behavior in systems.|2fast|0https:// id.worldcat.org/fast/852171 650 7 Coupled mode theory.|2fast|0https://id.worldcat.org/fast/ 881563 655 4 Electronic books. 776 08 |iPrint version:|aWu, Chai Wah.|tSynchronization in coupled chaotic circuits and systems.|dRiver Edge, N.J. : World Scientific, ©2002|w(DLC) 2002279811 830 0 World Scientific series on nonlinear science.|nSeries A, |pMonographs and treatises ;|0https://id.loc.gov/ authorities/names/no94008495|vv. 41. 856 40 |uhttps://rider.idm.oclc.org/login?url=http:// search.ebscohost.com/login.aspx?direct=true&scope=site& db=nlebk&AN=210650|zOnline eBook. Access restricted to current Rider University students, faculty, and staff. 856 42 |3Instructions for reading/downloading this eBook|uhttp:// guides.rider.edu/ebooks/ebsco 901 MARCIVE 20231220 948 |d20160616|cEBSCO|tebscoebooksacademic|lridw 994 92|bRID