Chaotic synchronization [[electronic resource] ] : applications to living systems / / Erik Mosekilde, Yuri Maistrenko, Dmitry Postnov

• Autore: Mosekilde Erik
• Pubblicazione: River Edge, NJ, : World Scientific, c2002
• Descrizione fisica: 1 online resource (440 p.)
• Disciplina: 003/.857
• Soggetto topico: Chaotic behavior in systems; Synchronization
• Soggetto genere / forma: Electronic books.
• Altri autori: MaĭstrenkoI͡U. L (I͡Uriĭ Leonidovich) PostnovDmitry
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographies and index.
• Nota di contenuto: 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 Intermittency ; 2.2 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 Maps ; 3 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 = a1 ; 3.6 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 Cycles ; 4.5 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 Oscillators ; 4.10 Arrays of Coupled Rossler Oscillators
• Sommario/riassunto: 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 par
• Titolo autorizzato: Chaotic synchronization
• ISBN: 981-277-826-8
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910458398903321
• Lo trovi qui: Univ. Federico II
• Serie: World Scientific series on nonlinear science. : Series A, . -Monographs and treatises ; ; v. 42.