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20222025
most citedWong-Zakai type approximations of rough random dynamical systems by smooth noise

7 citations · 7 across the 4 of their papers we have counts for

collaborators

5 papers

math.PR2025

Synchronization of stochastic dissipative differential equation driven by fractional Brownian motions

Qiyong Cao, Hongjun Gao, Wei Wei

In this paper, we study a class of dissipative stochastic differential equations driven by nonlinear multiplicative fractional Brownian noise with Hurst index $H \in \left(\frac{1}…

math.PR2023

Synchronization of Differential Equations Driven by Linear Multiplicative Fractional Brownian Motion

Wei Wei, Hongjun Gao, Qiyong Cao

This paper is devoted to the synchronization of stochastic differential equations driven by the linear multiplicative fractional Brownian motion with Hurst parameter $H\in(\frac{1}…

math.PR2023

Random attractors for locally monotone stochastic partial differential equations with linear multiplicative fractional noise

Qiyong Cao, Hongjun Gao

In this paper, we consider the random attractors for a class of locally monotone stochastic partial differential equations perturbed by the linear multiplicative fractional Brownia…

math.PR2022

Wong-Zakai approximation for the dynamics of stochastic evolution equation driven by rough path with Hurst index

Qiyong Cao, Hongjun Gao

In this paper, we obtain the existence of random attractors for a class of evolution equations driven by a geometric fractional Brownian rough path with Hurst index $H\in(\frac{1}{…

math.PR2022★ 7 cited

Wong-Zakai type approximations of rough random dynamical systems by smooth noise

Qiyong Cao, Hongjun Gao, Bjorn Schmalfuss

This paper is devoted to the smooth and stationary Wong-Zakai approximations for a class of rough differential equations driven by a geometric fractional Brownian rough path $\bold…