Steady-state analysis of a tristable system driven by a correlated multiplicative and an additive colored noises

Abstract

The steady-state problems of a tristable system are studied under the action of color correlated multiplicative and additive colored noise. Firstly, the expression of the steady-state probability density function is derived based on the uniform colored noise approximation, and then the change regulation of the steady-state probability density function is analyzed with the change of the strength and relevance of multiplicative noise and additive noise. Results show that the non-equilibrium phase transition of the system can be induced by the correlation strength and time of additive noise and multiplicative noise as well as the additive noise strength.