42 citations · 63 across the 14 of their papers we have counts for
5 papers · 1 filter
Characterization of the Most Probable Transition Paths of Stochastic Dynamical Systems with Stable Lévy Noise
Yuanfei Huang, Ying Chao, Shenglan Yuan +1
This work is devoted to the investigation of the most probable transition path for stochastic dynamical systems driven by either symmetric -stable Lévy motion () or Brown…
Hamiltonian Systems with Lévy Noise: Symplecticity, Hamilton's Principle and Averaging Principle
Pingyuan Wei, Ying Chao, Jinqiao Duan
This work focuses on topics related to Hamiltonian stochastic differential equations with Lévy noise. We first show that the phase flow of the stochastic system preserves symplecti…
The Onsager-Machlup Function as Lagrangian for the Most Probable Path of a Jump-diffusion Process
Ying Chao, Jinqiao Duan
This work is devoted to deriving the Onsager-Machlup function for a class of stochastic dynamical systems under (non-Gaussian) Levy noise as well as (Gaussian) Brownian noise, and…
Mean escape time for randomly switching narrow gates in a cellular flow
Hui Wang, Jinqiao Duan, Xianguo Geng +1
The escape of particles through a narrow absorbing gate in confined domains is a abundant phenomenon in various systems in physics, chemistry and molecular biophysics. We consider…
Invariant foliations for stochastic dynamical systems with multiplicative stable Levy noise
Ying Chao, Pingyuan Wei, Shenglan Yuan
This work deals with the dynamics of a class of stochastic dynamical systems with a multiplicative non-Gaussian Levy noise. We first establish the existence of stable and unstable…