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

For citation:

Semenov V. V., Neiman A. B., Vadivasova T. E., Anishchenko V. S. Noise-induced effects in the double-well oscillator with variable friction. Izvestiya VUZ. Applied Nonlinear Dynamics, 2016, vol. 24, iss. 1, pp. 5-15. DOI: 10.18500/0869-6632-2016-24-1-5-15

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86; 519.21
DOI: 
10.18500/0869-6632-2016-24-1-5-15

Noise-induced effects in the double-well oscillator with variable friction

Autors: 
Semenov V. V., Saratov State University
Neiman Aleksander Borisovich, Ohio University
Vadivasova Tatjana Evgenevna, Saratov State University
Anishchenko Vadim Semenovich, Saratov State University
Abstract: 

A model of bistable stochastic oscillator with dynamical variables depending on dissipation is offered. Considered system demonstrates stochastic P-bifurcations and non-monotonic dependence of the mean oscillation frequency on the noise intensity. An effective noise intensity and an effective potential are introduced for a quantitative description of the observed effects.

Key words: 
bistability
double-well oscillator
noise
stochastic bifurcations
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Received: 
21.12.2015
Accepted: 
23.02.2016
Published: 
28.02.2016
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