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

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Kuptsov P. V. Two-parameter analysis of chaos synchronization. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 6, pp. 42-50. DOI: 10.18500/0869-6632-1999-7-6-42-50

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-1999-7-6-42-50

Two-parameter analysis of chaos synchronization

Autors: 
Kuptsov Pavel Vladimirovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

The problem of synchronization of chaotic systems with inertial and dissipative coupling is considered. There are many investigations of one—parameter synchronization. Introducing the additional channel of coupling and respectively the second parameter of coupling gives the opportunity to observe all known types of stability of synchronized chaotic regime — strong and week stability and strong and week instability. As an example the two-parameter analysis of synchronization of two skew tent maps is developed.

Key words: 
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Acknowledgments: 
The author is grateful to S.P. Kuznetsov for useful discussion of the work and valuable comments. This work was supported by the Russian Foundation for Basic Research, project №. 97-02-16414.
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Received: 
06.07.1999
Accepted: 
05.10.1999
Published: 
01.02.2000
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