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

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Anishchenko V. S., Neiman A. B. Stochastic resonance and stochastic synchronization. Izvestiya VUZ. Applied Nonlinear Dynamics, 1997, vol. 5, iss. 1, pp. 5-14. DOI: 10.18500/0869-6632-1997-5-1-5-14

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Language: 
Russian
Heading: 
Review of Actual Problems of Nonlinear Dynamics
Article type: 
Article
UDC: 
621.373
DOI: 
10.18500/0869-6632-1997-5-1-5-14

Stochastic resonance and stochastic synchronization

Autors: 
Anishchenko Vadim Semenovich, Saratov State University
Neiman Aleksander Borisovich, Ohio University
Abstract: 

The fundamental phenomenon of synchronization occurs in non-lirear self—sustained oscillators subjecled to а periodic force or coupled with each other. This phenomenon manifests itself in locking or suppressing of the natural frequency of the oscillator by periodic force. In this paper we discuss surprising synchronization like phenomena in stochastic bistable systems which have no natural frequency at all. A stochastic bistable system possesses а noise—controlled mean switching frequeicy between metastable states being ап analogy of the natural frequency. The stochastic synchronization reveals locking of the mean switching frequency by external pericdic force. The same phenomenon can be observed in coupled stochastic bistable systemis.

Key words: 
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Acknowledgments: 
We are grateful to Professors W. Ebeling, L. Shimansky-Gayer and Yu.L. Klimontovich for valuable discussions. We thank B.V. Shulgin for assistance in conducting the physical experiment. The work was partially financed by grants from the State Committee of the Russian Federation for Higher Education (95-0-8.3-66) and a joint grant from the Physical Society of Germany (436 RUS 113/334).
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Received: 
05.01.1997
Accepted: 
05.03.1997
Published: 
18.05.1997
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