13 citations · 14 across the 3 of their papers we have counts for
7 papers
Dynamical Inference for Transitions in Stochastic Systems with stable Lévy Noise
Ting Gao, Jinqiao Duan, Xingye Kan
A goal of data assimilation is to infer stochastic dynamical behaviors with available observations. We consider transition phenomena between metastable states for a stochastic syst…
A Multi-Time-Scale Analysis of Chemical Reaction Networks : II. Stochastic Systems
Xingye Kan, Chang Hyeong Lee, Hans G. Othmer
We consider stochastic descriptions of chemical reaction networks in which there are both fast and slow reactions, and for which the time scales are widely separated. We develop a…
Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach
Xingye Kan, Jinqiao Duan, Ioannis G. Kevrekidis +1
A numerical approach for the approximation of inertial manifolds of stochastic evolutionary equations with multiplicative noise is presented and illustrated. After splitting the st…
Mean Exit Time and Escape Probability for a Tumor Growth System under Non-Gaussian Noise
Jian Ren, Chujin Li, Ting Gao +2
Effects of non-Gaussian stable Lévy noise on the Gompertz tumor growth model are quantified by considering the mean exit time and escape probability of the cancer cell density…
Approximation of invariant foliations for stochastic dynamical systems
Xu Sun, Xingye Kan, Jinqiao Duan
Invariant foliations are geometric structures for describing and understanding the qualitative behaviors of nonlinear dynamical systems. For stochastic dynamical systems, however,…
Escape Probability for Stochastic Dynamical Systems with Jumps
Huijie Qiao, Xingye Kan, Jinqiao Duan
The escape probability is a deterministic concept that quantifies some aspects of stochastic dynamics. This issue has been investigated previously for dynamical systems driven by G…