3 citations · 12 across the 9 of their papers we have counts for
9 papers
On the limit distribution for stochastic differential equations driven by cylindrical non-symmetric -stable Lévy processes
Ting Li, Hongbo Fu, Xianming Liu
This article deals with the limit distribution for a stochastic differential equation driven by a non-symmetric cylindrical -stable process. Under suitable conditions, it is pro…
The persistence of synchronization under -stable noise
Yanjie Zhang, Li Lin, Jinqiao Duan +1
This work is about the synchronization of nonlinear coupled dynamical systems driven by -stable noise. Firstly, we provide a novel technique to construct the relationship betwee…
The impact of multiplicative noise in SPDEs close to bifurcation via amplitude equations
Hongbo Fu, Dirk Blömker
This article deals with the approximation of a stochastic partial differential equation (SPDE) via amplitude equations. We consider an SPDE with a cubic nonlinearity perturbed by a…
Weak order in averaging principle for two-time-scale stochastic partial differential equations
Hongbo Fu, Li Wan, Jicheng Liu +1
This work is devoted to averaging principle of a two-time-scale stochastic partial differential equation on a bounded interval , where both the fast and slow components are…
Weak order in averaging principle for stochastic wave equations with a fast oscillation
Hongbo Fu, Li Wan, Jicheng Liu +1
This article deals with the weak errors for averaging principle for a stochastic wave equation in a bounded interval , perturbed by a oscillating term arising as the solutio…
Weak order in averaging principle for stochastic differential equations with jumps
Bengong Zhang, Hongbo Fu, Li Wan +1
The present article deals with the averaging principle for a two-time-scale system of jump-diffusion stochastic differential equation. Under suitable conditions, the weak error is…
Strong convergence rate in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales
Hongbo Fu, Li Wan, Jicheng Liu +1
In this article, we investigate averaging principle for stochastic hyperbolic-parabolic equations with two time-scales, in which both the slow and fast components are perturbed by…
Slow Manifolds for Multi-Time-Scale Stochastic Evolutionary Systems
Hongbo Fu, Xianming Liu, Jinqiao Duan
This article deals with invariant manifolds for infinite dimensional random dynamical systems with different time scales. Such a random system is generated by a coupled system of f…
Effective dynamicsof a coupled microscopic-macroscopic stochastic system
Jian Ren, Hongbo Fu, Daomin Cao +1
A conceptual model for microscopic-macroscopic slow-fast stochastic systems is considered. A dynamical reduction procedure is presented in order to extract effective dynamics for t…