Izvestiya VUZ. Applied Nonlinear Dynamics
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Izvestiya VUZ. Applied Nonlinear Dynamics, 2016, Volume 24, Issue 1, Pages 5–15 (Mi ivp173)  
APPLIED PROBLEMS OF NONLINEAR OSCILLATION AND WAVE THEORY

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

V. V. Semenova, A. B. Nejmanb, T. E. Vadivasovaa, V. S. Anishchenkoa

a Saratov State University
b Department of Physics and Astronomy, Ohio University
Full-text PDF (852 kB)
Abstract: A model of bistable stochastic oscillator with dynamical variables depending on dissipation is offered. Considered system demonstrates stochastic P-bifurcations and nonmonotonic 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.
Keywords: Bistability, double-well oscillator, noise, stochastic bifurcations.
Funding agency Grant number
Russian Foundation for Basic Research 15-02-02288
Ministry of Science and Higher Education of the Russian Federation 1008
Received: 21.12.2015
Document Type: Article
UDC: 537.86; 519.21
Language: Russian
Citation: V. V. Semenov, A. B. Nejman, T. E. Vadivasova, V. S. Anishchenko, “Noise-induced effects in the double-well oscillator with variable friction”, Izvestiya VUZ. Applied Nonlinear Dynamics, 24:1 (2016), 5–15
Citation in format AMSBIB
\Bibitem{SemNejVad16}
\by V.~V.~Semenov, A.~B.~Nejman, T.~E.~Vadivasova, V.~S.~Anishchenko
\paper Noise-induced effects in the double-well oscillator with variable friction
\jour Izvestiya VUZ. Applied Nonlinear Dynamics
\yr 2016
\vol 24
\issue 1
\pages 5--15
\mathnet{http://mi.mathnet.ru/ivp173}
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