ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Astakhov V. V., Balanov A. G., Sosnovtseva O. V., Vadivasova T. E. Loss of chaos synchronization in coupled Rossler systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 5, pp. 26-32. DOI: 10.18500/0869-6632-1999-7-5-26-32

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-1999-7-5-26-32

Loss of chaos synchronization in coupled Rossler systems

Autors: 
Astakhov Vladimir Vladimirovich, Yuri Gagarin State Technical University of Saratov
Balanov Aleksandr Gennadevich, Loughborough University
Sosnovtseva Olga Vladimirovna, Danmarks Tekniske Universitet
Vadivasova Tatjana Evgenevna, Saratov State University
Abstract: 

We study process of loss of complete chaos synchronization in interacting oscillators which demonstrates cascade of period—doubling bifurcations. It is shown that bifurcations of main family of saddle cycles embedded in chaotic attractor lead to loss of the synchronous regime robustness and appearance of limit sets located in vicinity of symmetrical subspace. Bifurcations of nonsymmetrical limit sets lead to formation of complex structure of attractor basins. The transition to hyperchaos regime which appears as a result of merge of some chaotic sets completes the loss of chaos synchronization.

Key words: 
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Acknowledgments: 
The work was supported by the RFBR (grant грант 98-02-16531).
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Received: 
10.03.1999
Accepted: 
30.08.1999
Published: 
01.12.1999
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