The mean first-passage time for an asymmetric bistable system driven by two colored noises

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.