Izvestiya of Saratov University.

Physics

ISSN 1817-3020 (Print)
ISSN 2542-193X (Online)


For citation:

Anishchenko V. S., Akopov A. A., Vadivasova T. E., Strelkova G. I. Cluster synchronization destruction and chaos in an inhomoceneous active medium. Izvestiya of Saratov University. Physics , 2006, vol. 6, iss. 1, pp. 73-81. DOI: 10.18500/1817-3020-2006-6-1-2-73-81

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
16.11.2006
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Article
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538.56:517.33

Cluster synchronization destruction and chaos in an inhomoceneous active medium

Autors: 
Anishchenko Vadim Semenovich, Saratov State University
Akopov A. A., Saratov State University
Vadivasova Tatyana Evgen'evna, Saratov State University
Strelkova Galina Ivanovna, Saratov State University
Abstract: 

We show that in an inhomogeneous self-sustained oscillatory medium the destruction of perfect clusters of partial synchronization, that is induced both by varying the control parameter and by noise, leads to the onset of chaotic behavior. We study the mechanisms of chaos formation in both cases. It is demonstrated that as parameters change, the transition to chaos in the deterministic medium can result from a hard (subcritical) period-doubling bifurcation and can be accompanied by intermittency. The noise-induced initiation of chaotic dynamics can be related with the existence of non-attracting chaotic motions in the vicinity of a regular regime.

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Received: 
11.06.2006
Accepted: 
15.10.2006
Published: 
16.11.2006