4 papers
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}…
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}…
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…
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}{…