157 citations · 543 across the 21 of their papers we have counts for
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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…