Lévy噪声和高斯白噪声驱动的非对称三稳系统的相转移问题研究OA北大核心CSTPCD

In this paper,the phenomenon of phase transition is studied in an asymmetric tristable model driven by Lévy noise and Gaussian white noise.First,the fourth-order Runge-Kutta algorithm is used to simulate the stationary probability density of the system.Then we observe the shape of the stationary probability density curve by adjusting the system parameters and noise parameters.It has been found that asymmetric parameter,additive noise intensity,multiplicative noise intensity,the stability index,and the skewness parameter can all induce phase transition.Moreover,the influence of additive noise intensity and multiplicative noise intensity on the number and height of stationary probability density peaks is opposite.We also found that under the same asymmetric parameters,the influence of positive and negative skewness parameters on the stationary probability density is different.