Steady state characteries of FitzHugh-Nagumo neural system subjected to two different kinds of colored noises

Making use of the unified colored noise approximation, the steady sate characteristics of the one-dimensional FitzHugh-Nagumo neural system with two different kinds of colored noises are investigated. The expressions of the steady state probability distribution function and the mean value are obtained. After numerical calculation, the results show that the self-correlated time of the multiplicative noise tau(1), the self-correlated time of the additive noise tau(2),the intensity of the additive noise alpha, and the intensity of the multiplicative noise D can induce the transition. The increases of alpha and D are conducive to the switch from the exciting state to the resting state. However, with tau(1) and tau(2) increasing, the switch from the resting state to the exciting state becomes obvious. The noise intensity and corresponding self-correlated time play opposite roles.