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

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Postnov D. E., Balanov A. G. Synchronization in chaotic systems with denumerable set of equilibrium states. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 1, pp. 69-80. DOI: 10.18500/0869-6632-1997-5-1-69-80

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
621.373.01
DOI: 
10.18500/0869-6632-1997-5-1-69-80

Synchronization in chaotic systems with denumerable set of equilibrium states

Autors: 
Postnov Dmitrij Engelevich, Saratov State University
Balanov Aleksandr Gennadevich, Loughborough University
Abstract: 

Coupled chaotic systems, in each of which the set of a few characteristic time describes the complex oscillatory regimes, arc investigated. Variation of parameters changes these characteristic times and allows us under certain conditions to observe the processes which can be interpreted in terms of synchronization phenomenon. It is shown, that the «locking» mechanism can be extended both to the mean resident time of system’s state near the one of the equilibrium points and to the time which corresponds to the mean drift rate of system’s state.

Key words: 
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Acknowledgments: 
The work was partially supported by the Russian State Committee for Higher Education for Fundamental Natural Sciences (grant 95-0-8.3-66) and the Russian-German grant DFG and RFFI 436 RUS 113/334/0 (R).
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Received: 
14.03.1997
Accepted: 
29.04.1997
Published: 
18.05.1997
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