Phase multistability of synchronous chaotic oscillations

The paper describes the sequence of bifurcations leading to multistability of periodic and chaotic synchronous attractors for the coupled Rössler systems which individually demonstrate the Feigenbaum route to chaos. We investigate how a frequency mismatch affects this phenomenon. The role of a set...

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Main Authors: T. E. Vadivasova, O. V. Sosnovtseva, A. G. Balanov, V. V. Astakhov
Format: Article
Language:English
Published: Wiley 2000-01-01
Series:Discrete Dynamics in Nature and Society
Subjects:
Online Access:http://dx.doi.org/10.1155/S1026022600000224
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author T. E. Vadivasova
O. V. Sosnovtseva
A. G. Balanov
V. V. Astakhov
author_facet T. E. Vadivasova
O. V. Sosnovtseva
A. G. Balanov
V. V. Astakhov
author_sort T. E. Vadivasova
collection DOAJ
description The paper describes the sequence of bifurcations leading to multistability of periodic and chaotic synchronous attractors for the coupled Rössler systems which individually demonstrate the Feigenbaum route to chaos. We investigate how a frequency mismatch affects this phenomenon. The role of a set of coexisting synchronous regimes in the transitions to and between different forms of synchronization is studied.
format Article
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institution Kabale University
issn 1026-0226
1607-887X
language English
publishDate 2000-01-01
publisher Wiley
record_format Article
series Discrete Dynamics in Nature and Society
spelling doaj-art-350f02e6251e46cfb45be8780be44eb42025-08-20T03:55:06ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-014323124310.1155/S1026022600000224Phase multistability of synchronous chaotic oscillationsT. E. Vadivasova0O. V. Sosnovtseva1A. G. Balanov2V. V. Astakhov3Physics Department, Saratov State University, Astrokhanskaya str. 83, Saratov 410026, RussiaPhysics Department, Saratov State University, Astrokhanskaya str. 83, Saratov 410026, RussiaPhysics Department, Saratov State University, Astrokhanskaya str. 83, Saratov 410026, RussiaPhysics Department, Saratov State University, Astrokhanskaya str. 83, Saratov 410026, RussiaThe paper describes the sequence of bifurcations leading to multistability of periodic and chaotic synchronous attractors for the coupled Rössler systems which individually demonstrate the Feigenbaum route to chaos. We investigate how a frequency mismatch affects this phenomenon. The role of a set of coexisting synchronous regimes in the transitions to and between different forms of synchronization is studied.http://dx.doi.org/10.1155/S1026022600000224ChaosSynchronizationMultistabilityAttractor.
spellingShingle T. E. Vadivasova
O. V. Sosnovtseva
A. G. Balanov
V. V. Astakhov
Phase multistability of synchronous chaotic oscillations
Discrete Dynamics in Nature and Society
Chaos
Synchronization
Multistability
Attractor.
title Phase multistability of synchronous chaotic oscillations
title_full Phase multistability of synchronous chaotic oscillations
title_fullStr Phase multistability of synchronous chaotic oscillations
title_full_unstemmed Phase multistability of synchronous chaotic oscillations
title_short Phase multistability of synchronous chaotic oscillations
title_sort phase multistability of synchronous chaotic oscillations
topic Chaos
Synchronization
Multistability
Attractor.
url http://dx.doi.org/10.1155/S1026022600000224
work_keys_str_mv AT tevadivasova phasemultistabilityofsynchronouschaoticoscillations
AT ovsosnovtseva phasemultistabilityofsynchronouschaoticoscillations
AT agbalanov phasemultistabilityofsynchronouschaoticoscillations
AT vvastakhov phasemultistabilityofsynchronouschaoticoscillations