TY - JOUR
AU - Semenov, V. V.
AU - Neiman, A. B.
AU - Vadivasova, T. E.
AU - Anishchenko, V. S.
PY - 2016
DA - 2016//
TI - Noise-induced transitions in a double-well oscillator with nonlinear dissipation
T2 - Phys Rev E
JO - Physical Review. E
SP - 052210
VL - 93
IS - 5
AB - 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.
SN - 2470-0045
UR - http://www.ncbi.nlm.nih.gov/pubmed/27300883
DO - 10.1103/PhysRevE.93.052210
LA - English
N1 - PMID:27300883
ID - Semenov_etal2016
ER -