通过改变相对噪声强度来控制最可能的逃生路径
Steering most probable escape paths by varying relative noise intensities
摘要：
我们证明了系统地引导最可能的逃逸路径（MPEPs）的可能性，通过调整相对噪声强度的动态系统，表现出噪声诱导的逃逸通过鞍点从亚稳态点。使用几何最小作用的方法，渐近理论是广泛适用于快慢系统，并显示了与快速变量在定位MPEPs的零倾所发挥的重要作用。一个二维的二次系统，允许分析确定的MPEPs和相关的行动值。分析预测同意计算MPEPs，并通过直接从基本的随机微分方程构建史前分布数值证实。
英文摘要：
We demonstrate the possibility to systematically steer the most probable escape paths (MPEPs) by adjusting relative noise intensities in dynamical systems that exhibit noise-induced escape from a metastable point via a saddle point. Using a geometric minimum action approach, an asymptotic theory is developed which is broadly applicable to fast-slow systems and shows the important role played by the nullcline associated with the fast variable in locating the MPEPs. A two-dimensional quadratic system is presented which permits analytical determination of both the MPEPs and associated action values. Analytical predictions agree with computed MPEPs, and both are numerically confirmed by constructing prehistory distributions directly from the underlying stochastic differential equation.
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