Open AccessThe mean first-passage time for an asymmetric bistable system driven by multiplicative colored and additive white noise with a correlated noise
Author(s) -
Zhang Na-Min,
Wei Xu,
Chaoqing Wang
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.5083
Subject(s) - asymmetry , colors of noise , bistability , multiplicative function , noise (video) , physics , white noise , first hitting time model , colored , multiplicative noise , stochastic resonance , statistical physics , mathematical analysis , mathematics , statistics , quantum mechanics , computer science , telecommunications , materials science , image (mathematics) , composite material , artificial intelligence , signal transfer function , transmission (telecommunications) , analog signal
We investigated the effects of asymmetry of the potential and noises on the mean first-passage time (MFPT) in two opposite directions in an asymmetric bistable system subjected to multiplicative colored and additive white noise with a correlated noise. The expression of the stationary probability distribution is obtained by means of an extended unified colored-noise approximation and the expressions of the MFPTs are derived through the steepest-descent approach. Numerical results show that the influence of the asymmetry coefficient r on T± is different and because of the correlated noiseeven for r=0, T+(xs1→xs2,r) is not equal to T-(xs2→xs1,r). The curves of lnT± versus r in both cases have mono-valleys but the mono-valleys move to the opposite directions with increasing correlation intensity λ.