Semenov_etal2016
ArticleInAPeriodical
2016
Physical Review. E
93
5
http://www.ncbi.nlm.nih.gov/pubmed/27300883
http://www.ncbi.nlm.nih.gov/pubmed/27300883
http://dx.doi.org/10.1103/PhysRevE.93.052210
052210
SemenovVV
NeimanAB
VadivasovaTE
AnishchenkoVS
Noise-induced transitions in a double-well oscillator with nonlinear dissipation
We develop a model of bistable oscillator with nonlinear dissipation. Using a numerical simulation and an electronic circuit realization of this system we study its response to additive noise excitations. We show that depending on noise intensity the system undergoes multiple qualitative changes in the structure of its steady-state probability density function (PDF). In particular, the PDF exhibits two pitchfork bifurcations versus noise intensity, which we describe using an effective potential and corresponding normal form of the bifurcation. These stochastic effects are explained by the partition of the phase space by the nullclines of the deterministic oscillator.PMID:27300883exported from refbase (http://chaos.sgu.ru/refbase/show.php?record=29), last updated on Fri, 21 Oct 2016 11:43:19 +0300