Noise-induced transitions in a double-well oscillator with nonlinear dissipation

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.

7 pages (main paper with references), 7 figures

References in corpus (1)

• Noise-controlled bistability in an excitable system with positive feedback

Cited by in corpus (3)

• Noise-induced transitions in a double-well excitable oscillator
• Slim Fractals: The Geometry of Doubly Transient Chaos
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