Mean first-passage time of an asymmetric bistable system driven by colour-correlated noise |
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| Authors: | Zhang Xiao-Yan and Xu Wei |
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| Affiliation: | Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, China |
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| Abstract: | In this paper, the effect of every parameter (including p, q, r,
\la, \tau) 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 \la (e.g. \la<0.5) but there is
a peak on the curve of the MFPT when \la is big (e.g. \la >0.5),
and (3) with different values of r (e.g. r=0.1, 0.5, 1.5), the
effort of \tau on the MFPT is diverse. |
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| Keywords: | mean first- passage time asymmetric bistable system colour-correlated noise |
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