Noise-induced transitions in a double-well oscillator with nonlinear dissipation
Adaptation and Self-Organizing Systems
2016-05-25 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1601.00298,
title = {Noise-induced transitions in a double-well oscillator with nonlinear dissipation},
author = {Vladimir V. Semenov and Alexander B. Neiman and Tatyana E. Vadivasova and Vadim S. Anishchenko},
journal= {arXiv preprint arXiv:1601.00298},
year = {2016}
}
Comments
7 pages (main paper with references), 7 figures