2003/11/01 by Kirone Mallick, K. Mallick, P. Marcq +1 · 1 citation
Environmental Science · Physics and Astronomy · #Chaos control and synchronization #Ecosystem dynamics and resilience #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1140/epjb/e2003-00324-y
published as Eur. Phys. J. B, Vol 36 (2003) 119 · 10 pages, 8 figures
openalex publication_date 2003/11/01 · arxiv created 2003/12/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study analytically and numerically the noise-induced transition between an absorbing and an oscillatory state in a Duffing oscillator subject to multiplicative, Gaussian white noise. We show in a non-perturbative manner that a stochastic bifurcation occurs when the Lyapunov exponent of the linearised system becomes positive. We deduce from a simple formula for the Lyapunov exponent the phase diagram of the stochastic Duffing oscillator. The behaviour of physical observables, such as the oscillator's mean energy, is studied both close to and far from the bifurcation.