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 inan asymmetric bistable system driven by colour-correlated noise. Theexpression of MFPT has been obtained by applying the steepest-descentapproximation. Numerical results show that (1) the intensity ofmultiplicative noise p and the intensity of additive noise q playdifferent roles in the MFPT of the system, (2) suppression appears onthe curve of the MFPT with small la (e.g. la<0.5) but there isa 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), theeffort 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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