Noise-induced transitions in a double-well oscillator with nonlinear dissipation
Semenov
V
V
author
Neiman
A
B
author
Vadivasova
T
E
author
Anishchenko
V
S
author
2016
English
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:27300883
exported from refbase (http://chaos.sgu.ru/refbase/show.php?record=29), last updated on Fri, 21 Oct 2016 11:43:19 +0300
text
http://www.ncbi.nlm.nih.gov/pubmed/27300883
http://www.ncbi.nlm.nih.gov/pubmed/27300883
10.1103/PhysRevE.93.052210
27300883
Semenov_etal2016
Physical Review. E
Phys Rev E
2016
continuing
periodical
academic journal
93
5
052210
2470-0045