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2007 Volume 16 Issue 4
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Zhang Xiao-Yan, Xu Wei. 2007: Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise, Chinese Physics B, 16(4): 928-932.
Citation: Zhang Xiao-Yan, Xu Wei. 2007: Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise, Chinese Physics B, 16(4): 928-932.
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Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise

  • Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an,Shaanxi 710072,China

  • Available Online: 30/04/2007
  • Fund Project: the National Natural Science Foundation of China(Grants 10472091, 10332030 and 10502042)%the Graduate Starting Seed Fund of Northwestern Polytechnical University(Grant Z200655)
  • In this paper, the effect of every parameter (including p, q,r, λ,τ) on the mean first-passage time (MFPT) is investigated in an asymmetric bistable system driven by colour-correlated noise. The expression of MFPT has been obtained by applying the steepest-descent approximation. Numerical results show that (1) the intensity of multiplicative noise p and the intensity of additive noise q play different roles in the MFPT of the system, (2) suppression appears on the curve of the MFPT with small λ (e.g. λ＜ 0.5) but there is a peak on the curve of the MFPT when λ is big (e.g.λ＞ 0.5), and (3) with different values of r (e.g. r = 0.1, 0.5, 1.5), the effort of τ on the MFPT is diverse.
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Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise

  • Available Online: 30/04/2007

Abstract: In this paper, the effect of every parameter (including p, q,r, λ,τ) on the mean first-passage time (MFPT) is investigated in an asymmetric bistable system driven by colour-correlated noise. The expression of MFPT has been obtained by applying the steepest-descent approximation. Numerical results show that (1) the intensity of multiplicative noise p and the intensity of additive noise q play different roles in the MFPT of the system, (2) suppression appears on the curve of the MFPT with small λ (e.g. λ＜ 0.5) but there is a peak on the curve of the MFPT when λ is big (e.g.λ＞ 0.5), and (3) with different values of r (e.g. r = 0.1, 0.5, 1.5), the effort of τ on the MFPT is diverse.

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