1.

Record Nr.

UNINA9910458398903321

Autore

Mosekilde Erik

Titolo

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

Pubbl/distr/stampa

River Edge, NJ, : World Scientific, c2002

ISBN

981-277-826-8

Descrizione fisica

1 online resource (440 p.)

Collana

World Scientific series on nonlinear science. Series A ; ; v. 42

Altri autori (Persone)

MaĭstrenkoI͡U. L (I͡Uriĭ Leonidovich)

PostnovDmitry

Disciplina

003/.857

Soggetti

Chaotic behavior in systems

Synchronization

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

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