Abstract: The stationary probability distribution (SPD) is investigated in an asymmetric bistable system driven by cross-correlated multiplicative white noise and additive white noise with periodic signal. By virtue of the Liouville Equation and Novikov Theorem, the approximate Fokker-Planck equation is derived, and the analytic expressions of the stationary probability is obtained. The results indicate that related parameters, including the asymmetric parameter, the amplitude of periodic signal, the intensities of the noises and the intensity of correlation between multiplicative noise and additive noise, can induce the SPD transition from bimodal to unimodal in structure. Furthermore, the structure of the SPD exhibits a symmetrical structure at when .But the symmetry of SPD at is destroyed when .

Key words: nonlinear optics, asymmetric bistable system, Fokker-Planck equation, noise, stationary probability distribution