Random attractors for non-autonomous stochastic FitzHugh-Nagumo systems with multiplicative noise

In this paper, we prove the existence and uniqueness of random attractors for theFitzHugh-Nagumo system defined on $\mathbb{R}^n$ driven by bothdeterministic non-autonomous forcing and multiplicative noise.The periodicity ofrandom attractors is established when the system is perturbed by time periodic forcing.We also prove the upper semicontinuity of random attractors when the intensity of noise approaches zero.