157 citations · 158 across the 5 of their papers we have counts for
8 papers
Rate-dependent bifurcation dodging in a thermoacoustic system driven by colored noise
Xiaoyu Zhang, Yong Xu, Qi Liu +2
Tipping in multistable systems occurs usually by varying the input slightly, resulting in the output switching to an often unsatisfactory state. This phenomenon is manifested in th…
Strong averaging principles for a class of non-autonomous slow-fast systems of SPDEs with polynomial growth
Ruifang Wang, Yong Xu
In this work, we study a class of non-autonomous two-time-scale stochastic reaction-diffusion equations driven by Poisson random measures, in which the coefficients satisfy the pol…
Stochastic averaging for the non-autonomous mixed stochastic differential equations with locally Lipschitz coefficients
Ruifang Wang, Yong Xu, Hongge Yue
This paper investigates a non-autonomous slow-fast system, which is generalized by stochastic differential equations (SDEs) with locally Lipschitz coefficients, subjected to standa…
Rate-dependent tipping-delay phenomenon in a thermoacoustic system with colored noise
Xiaoyu Zhang, Yong Xu, Qi Liu +1
Tipping is a phenomenon in multistable systems where small changes in inputs cause huge changes in outputs. When the parameter varies within a certain time scale, the rate will aff…
Solving Fokker-Planck equation using deep learning
Yong Xu, Hao Zhang, Yongge Li +3
The probability density function of stochastic differential equations is governed by the Fokker-Planck (FP) equation. A novel machine learning method is developed to solve the gene…
Averaging principles for non-autonomous two-time-scale stochastic reaction-diffusion equations with polynomial growth
Ruifang Wang, Yong Xu, Bin Pei
In this paper, we develop the averaging principle for a class of two-time-scale stochastic reaction-diffusion equations driven by Wiener processes and Poisson random measures. We a…