Computing large deviation prefactors of stochastic dynamical systems based on machine learning

no code implementations • 20 Jun 2023 • Yang Li, Shenglan Yuan, Linghongzhi Lu, Xianbin Liu

In this paper, we present large deviation theory that characterizes the exponential estimate for rare events of stochastic dynamical systems in the limit of weak noise.

Controlling mean exit time of stochastic dynamical systems based on quasipotential and machine learning

no code implementations • 27 Sep 2022 • Yang Li, Shenglan Yuan, Shengyuan Xu

The mean exit time escaping basin of attraction in the presence of white noise is of practical importance in various scientific fields.