The random attractor of stochastic FitzHugh-Nagumo equations in an infinite lattice with white noises

The present paper is devoted to the existence of the random attractor of stochastic FitzHugh-Nagumo equations in an infinite lattice with additive white noise. Using the Ornstein-Uhlenbeck transform, we firstly show the existence of an absorbing set, then prove that the random dynamical system is asymptotically compact. Finally, the existence of the random attractor is provided.