基于大偏差理论的随机动力学研究

朱金杰^1,^2,^†(

),陈朕^2,³,孔琛^2,⁴,刘先斌^2,^*(

)

The researches on the stochastic dynamics based on the large deviation theory

ZHU Jinjie^1,^2,^†(

),CHEN Zhen^2,³,KONG Chen^2,⁴,LIU Xianbin^2,^*(

)

图19. Maier-Stein系统两种参数条件下离出位置分布 (Zhu et al. 2018). 图中实线为理论结果, 符号为概率演化算法的数值计算结果. (a) $\alpha = 6.67$, $\mu = 2$. 噪声强度分别为: $D=0.01$ (红色), 0.03 (绿色), 0.05 (蓝色); (b) $\alpha = 10$, $\mu = 0.67$. 噪声强度分别为: $D =0.015$ (红色), 0.04 (绿色)