05186nam 2200673 a 450 991045839890332120200520144314.0981-277-826-8(CKB)1000000000403183(EBL)1679739(OCoLC)879023954(SSID)ssj0000120022(PQKBManifestationID)11917543(PQKBTitleCode)TC0000120022(PQKBWorkID)10073625(PQKB)11183910(MiAaPQ)EBC1679739(WSP)00004845(Au-PeEL)EBL1679739(CaPaEBR)ebr10201220(CaONFJC)MIL505450(EXLCZ)99100000000040318320020716d2002 uy 0engur|n|---|||||txtccrChaotic synchronization[electronic resource] applications to living systems /Erik Mosekilde, Yuri Maistrenko, Dmitry PostnovRiver Edge, NJ World Scientificc20021 online resource (440 p.)World Scientific series on nonlinear science. Series A ;v. 42Description based upon print version of record.981-02-4789-3 Includes bibliographies and index.Contents ; PREFACE ; 1 COUPLED NONLINEAR OSCILLATORS ; 1.1 The Role of Synchronization ; 1.2 Synchronization Measures ; 1.3 Mode-Locking of Endogenous Economic Cycles ; 2 TRANSVERSE STABILITY OF COUPLED MAPS ; 2.1 Riddling Bubbling and On-Off Intermittency2.2 Weak Stability of the Synchronized Chaotic State 2.3 Formation of Riddled Basins of Attraction ; 2.4 Destabilization of Low-Periodic Orbits ; 2.5 Different Riddling Scenarios ; 2.6 Intermingled Basins of Attraction ; 2.7 Partial Synchronization for Three Coupled Maps3 UNFOLDING THE RIDDLING BIFURCATION 3.1 Locally and Globally Riddled Basins of Attraction ; 3.2 Conditions for Soft and Hard Riddling ; 3.3 Example of a Soft Riddling Bifurcation ; 3.4 Example of a Hard Riddling Bifurcation ; 3.5 Destabilization Scenario for a = a13.6 Coupled Intermittency-III Maps 3.7 The Contact Bifurcation ; 3.8 Conclusions ; 4 TIME-CONTINUOUS SYSTEMS ; 4.1 Two Coupled Rossler Oscillators ; 4.2 Transverse Destabilization of Low-Periodic Orbits ; 4.3 Riddled Basins ; 4.4 Bifurcation Scenarios for Asynchronous Cycles4.5 The Role of a Small Parameter Mismatch 4.6 Influence of Asymmetries in the Coupled System ; 4.7 Transverse Stability of the Equilibrium Point ; 4.8 Partial Synchronization of Coupled Oscillators ; 4.9 Clustering in a System of Four Coupled Oscillators4.10 Arrays of Coupled Rossler Oscillators Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level. This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over parWorld Scientific series on nonlinear science.Series A,Monographs and treatises ;v. 42.Chaotic behavior in systemsSynchronizationElectronic books.Chaotic behavior in systems.Synchronization.003/.857Mosekilde Erik772149Maĭstrenko I͡U. L(I͡Uriĭ Leonidovich)878512Postnov Dmitry772151MiAaPQMiAaPQMiAaPQBOOK9910458398903321Chaotic synchronization1961437UNINA