The mean first-passage time for an asymmetric bistable system driven by multiplicative colored and additive white noise with a correlated noise

Na Min Zhang, Wei Xu, Chao Qing Wang

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8 Scopus citations

Abstract

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 noise, even for r = 0, T + (xs1→xs2, r) is not equal to T- (xs1→xs2, r). The curves of InT versus r in both cases have mono-valleys but the mono-valleys move to the opposite directions with increasing correlation intensity λ.

Original languageEnglish
Pages (from-to)5083-5087
Number of pages5
JournalWuli Xuebao/Acta Physica Sinica
Volume56
Issue number9
DOIs
StatePublished - Sep 2007

Keywords

  • Additive white noise
  • Asymmetric bistable system
  • Mean first-passage time
  • Multiplicative colored noise

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