Special Session 57: Dynamics and Numerics of Stochastic Differential Equations

Pullback measure random attractors of lattice FitzHugh-Nagumo systems

Weisong Zhou
Chongqing University of Posts and Telecommunications
Peoples Rep of China
Co-Author(s):    Li Dingshi, Wang Xiaohu
Abstract:
In this talk, we will investigate a class of the existence of the random attractor of stochastic equations in an infinite lattice with multiplicative white noise. Using the 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.