Noise-induced reentrant transition of the stochastic Duffing oscillator
Statistical Mechanics
2009-11-10 v1
Abstract
We derive the exact bifurcation diagram of the Duffing oscillator with parametric noise thanks to the analytical study of the associated Lyapunov exponent. When the fixed point is unstable for the underlying deterministic dynamics, we show that the system undergoes a noise-induced reentrant transition in a given range of parameters. The fixed point is stabilised when the amplitude of the noise belongs to a well-defined interval. Noisy oscillations are found outside that range, i.e., for both weaker and stronger noise.
Keywords
Cite
@article{arxiv.cond-mat/0403039,
title = {Noise-induced reentrant transition of the stochastic Duffing oscillator},
author = {Kirone Mallick and Philippe Marcq},
journal= {arXiv preprint arXiv:cond-mat/0403039},
year = {2009}
}
Comments
4 pages, 5 figures, to be published in Eur. Phys. J. B