157 citations · 543 across the 21 of their papers we have counts for
21 papers
Averaging principle of stochastic Burgers equation driven by Lévy processes
Hongge Yue, Yong Xu, Ruifang Wang +1
We are concerned about the averaging principle for the stochastic Burgers equation with slow-fast time scale. This slow-fast system is driven by Lévy processes. Under some appropri…
Averaging principle for fast-slow system driven by mixed fractional Brownian rough path
Bin Pei, Yuzuru Inahama, Yong Xu
This paper is devoted to studying the averaging principle for fast-slow system of rough differential equations driven by mixed fractional Brownian rough path. The fast component is…
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…
The central limit theorem for slow-fast systems with Lévy noise
Xiaoyu Yang, Yong Xu, Ruifang Wang +1
We consider a slow-fast stochastic differential system with Lévy noise. We will employ the perturbed test function method to study the normal deviation of the slow-fast system. Our…
Stochastic averaging for non-Lipschitz multi-valued stochastic differential equations driven by G-Brownian motion
Min Han, Bin Pei
In this paper, we prove the validity of an averaging principle for multi-valued stochastic differential equations (MSDEs) driven by G-Brownian motion with non-Lipschitz coefficient…
Pathwise unique solutions and stochastic averaging for mixed stochastic partial differential equations driven by fractional Brownian motion and Brownian motion
Bin Pei, Yuzuru Inahama, Yong Xu
This paper is devoted to a system of stochastic partial differential equations (SPDEs) that have a slow component driven by fractional Brownian motion (fBm) with the Hurst paramete…
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…
Averaging Principles for Mixed Fast-Slow Systems Driven by Fractional Brownian Motion
Bin Pei, Yuzuru Inahama, Yong Xu
We focus on fast-slow systems involving both fractional Brownian motion (fBm) and standard Brownian motion (Bm). The integral with respect to Bm is the standard Ito integral, and t…
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…
Averaging principles for non-autonomous two-time-scale stochastic reaction-diffusion equations with jump
Yong Xu, Ruifang Wang
In this paper, we aim to develop the averaging principle for a slow-fast system of stochastic reaction-diffusion equations driven by Poisson random measures. The coefficients of th…
L^p(p>2)-strong convergence in stochastic averaging principle for two time-scales stochastic evolution equations driven by Lévy process
Bin Pei, Yong Xu
The main goal of the work is to study the stochastic averaging principle for two time-scales stochastic evolution equations driven by Lévy process. The solution of reduced equation…
The parallel logic gates in synthetic gene networks induced by non-Gausssian noise
Yong Xu, Xiaoqin Jin, Huiqing Zhang
The newly appeared idea of Logical Stochastic Resonance (LSR) is verified in synthetic gene networks induced by non-Gaussian noise. We realize the switching between two kinds of lo…
Effects of Lévy Noise on a bistable Duffing System
Yong Xu, Juanjuan Li, Jing Feng
This paper numerically investigates the mean first passage time (MFPT) and phase transition of a bistable Duffing system driven by Lévy stable noise, which can reduce to the common…
The Availability of Logical Operation Induced by Dichotomous Noise for a Nonlinear Bistable System
Yong Xu, Xiaoqin Jin, Huiqing Zhang +1
Instead of a continuous system driven by Gaussian white noise, logical stochastic resonance will be investigated in a nonlinear bistable system with two thresholds driven by dichot…
Synchronization of Fractional-order Chaotic Systems with Gaussian fluctuation by Sliding Mode Control
Yong Xu, Hua Wang
This paper is devoted to the problem of synchronization between fractional-order chaotic systems with Gaussian fluctuation by the method of fractional-order sliding mode control. A…
Stochastic Averaging Principle for Dynamical Systems with Fractional Brownian Motion
Yong Xu, Rong Guo, Di Liu +2
Stochastic averaging for a class of stochastic differential equations (SDEs) with fractional Brownian motion, of the Hurst parameter H in the interval (1/2, 1), is investigated. An…
Lévy Noise Induced Switch in the Gene Transcriptional Regulatory System
Yong Xu, Jing Feng, JuanJuan Li +1
Gene transcriptional regulatory is an inherently noisy process. In this paper, the study of fluctuations in a gene transcriptional regulatory system is extended to the case of Lévy…
Lévy Noise-Induced Stochastic Resonance in a Bistable System
Yong Xu, Juanjuan Li, Jing Feng +3
Stochastic resonance phenomenon induced by non-Gaussian Lévy noise in a second-order bistable system is investigated. The signal-noise-ratio for different parameters is computed by…