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The mean first-passage time for an asymmetric bistable system driven by two colored noises
Author(s) -
Bing Wang,
Xiaofeng Wu,
Shao Ji-Hong
Publication year - 2009
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.58.1391
Subject(s) - bistability , colored , multiplicative function , colors of noise , physics , asymmetry , noise (video) , mathematical analysis , mathematics , noise reduction , materials science , computer science , quantum mechanics , image (mathematics) , composite material , artificial intelligence , acoustics
By means of an extended colored-noise approximationwe investigated the effects of asymmetry of the potential and noises on the mean first-passage time T+xs1→xs2 and T-xs2→xs1 in two opposite directions in an asymmetric bistable system here xs1 and xs2 are stable points of the asymmetric bistable system. Numerical results show that T+xs1→xs2 decreases with increasing of τ1 the correlation time of multiplicative noise and τ2 the correlation time of additive noise. T-xs2→xs1 increases with increasing of τ1 and τ2. The curves of T+xs1→xs2 versus λ and T-xs2→xs1 versus λ are single-peaked. T+xs1→xs2 will increase when r increasesbut T-xs2→xs1 will decrease when r increases.

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