NOISE-INDUCED EFFECTS IN THE DOUBLE-WELL OSCILLATOR WITH VARIABLE FRICTION


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Semenov V. V., Neiman A. B., Vadivasova Т. Е., Anishenko 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


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.

DOI:10.18500/0869-6632-2016-24-1-5-15

 

Paper’s reference: 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, Issue 1. P. 5–15.

 

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DOI: 
10.18500/0869-6632-2016-24-1-5-15
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@article{Семенов -IzvVUZ_AND-24-1-5,
author = {Vladimir Victorovich Semenov and Alexander B. Neiman and Т. Е. Vadivasova and Vadim S. Anishenko},
title = {NOISE-INDUCED EFFECTS IN THE DOUBLE-WELL OSCILLATOR WITH VARIABLE FRICTION},
year = {2016},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {24},number = {1},
url = {http://andjournal.sgu.ru/en/articles/noise-induced-effects-in-the-double-well-oscillator-with-variable-friction},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2016-24-1-5-15},pages = {5--15},issn = {0869-6632},
keywords = {bistability,double-well oscillator,noise,stochastic bifurcations.},
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. DOI:10.18500/0869-6632-2016-24-1-5-15   Paper’s reference: 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, Issue 1. P. 5–15.   Download full version }}