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


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Koronovskii A. A., Moskalenko O. I., Popov P. V., Hramov A. E. Some approaches for chaotic synchronization analysis in coupled dynamical systems. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 6, pp. 159-190. DOI: 10.18500/0869-6632-2004-12-6-159-190

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Russian
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Article
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517.9

Some approaches for chaotic synchronization analysis in coupled dynamical systems

Autors: 
Koronovskii Aleksei Aleksandrovich, Saratov State University
Moskalenko Olga Igorevna, Saratov State University
Popov Pavel Viacheslavovich, Saratov State University
Hramov Aleksandr Evgenevich, Immanuel Kant Baltic Federal University
Abstract: 

In this paper synchronization in coupled chaotic oscillators is investigated. New approaches proposed to the detection of synchronous behavior of oscillators are applied for the research of chaotic synchronization both in systems with a small number of freedom degrees as in spatially extended self-oscillated systems.

Key words: 
Acknowledgments: 
The authors are grateful to Corresponding Member of the Russian Academy of Sciences D.I. Trubetskov, Prof. B.P. Bezruchko and his research group for their interest in the work and fruitful discussions. The work supported by the RFBR (projects 05 - 02 - 16273 and 05 - 02 - 16286), Program to support leading scientific schools of the Russian Federation (project НШ - 1250.2003.02), and Scientific and Educational Center "Nonlinear Dynamics and Biophysics" at N.G. Chernyshevsky State University of Saratov (grant ВЕС-006 оf U.S. Civilian Research and Development Foundation for the Independent States of the Former Soviet Union (CRDF)). The authors are also grateful to the Foundation for Nonprofit Programs "Dynasty" and the International Center for Fundamental Physics (Moscow) for financial support.
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Received: 
15.12.2004
Accepted: 
16.04.2005
Published: 
15.06.2005