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,*()
),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 Jinjie1,2,†(),CHEN Zhen2,3,KONG Chen2,4,LIU Xianbin2,*()
),CHEN Zhen2,3,KONG Chen2,4,LIU Xianbin2,*()
图3. 对称双势阱随机共振示意图. 其中双势阱势能函数为$V\left(\pmb x \right) = x^4/4 - x^2/2$, 由于周期激励的作用, 势能函数将会变为$V\left(\pmb x \right) = V\left(\pmb x \right) - Ax\sin \left( {\varOmega t} \right)$, $A$为周期激励幅值, $\varOmega $为其频率, $\Delta V$为势阱深度
.
