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

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Anishchenko V. S., Neiman A. B., Silchenko A. N., Khovanov I. A. Phase synchronization of switchings in stochastic. Izvestiya VUZ. Applied Nonlinear Dynamics, 1998, vol. 6, iss. 4, pp. 68-85. DOI: 10.18500/0869-6632-1998-6-4-68-85

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Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.373
DOI: 
10.18500/0869-6632-1998-6-4-68-85

Phase synchronization of switchings in stochastic

Autors: 
Anishchenko Vadim Semenovich, Saratov State University
Neiman Aleksander Borisovich, Ohio University
Silchenko Alexander Nikolaevich, Lancaster University
Khovanov Igor Aleksandrovich, Saratov State University
Abstract: 

We study synchronization of switching processes in stochastic and chaotic bistable the systems driven by а periodic signal in terms of phase synchronization. Introducing instantaneous phases of transitions between metastable states and the periodic forcing we show explicitly the effect of phase locking. The dynamics of phase difference арреагs to be qualitatively equivalent to that of a synchronized classical self-sustained oscillator. We have found that the degree of phase coherence between the input signal and the response estimated employing the cifective diffusion constant is maximal at an optimal noise level in stochastic bistable system or at an optimal value of а control parameter in а purely deterministic case. We also consider the effect of mutual synchronization of the switching processes in coupled stochastic anf chactic bistable systems.

Key words: 
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Acknowledgments: 
We acknowledge fruitful discussions with L. Schimansky-Geier, Yu.Klimontovich, A.Malakhov, F.Moss, I.Khovanov, M.Rosenblum, A.Pikovsky, and J.Kurths. A.Neiman is а recipient of a Fetzer Institute post-doctoral fellowship. This work has been supported in part by RFBR (grant № 95-02-16531), by the State Committee оп Higher Education of the Russian Federation (grant № 97-0-8.3-47) and by the Roval Society of London.
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Received: 
19.06.1998
Accepted: 
12.10.1988
Published: 
10.12.1998
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