Global Attractors of Non-autonomous Lattice Dynamical Systems

The aim of this paper is studying the compact global attractors for non-autonomous lattice dynamical systems of the form $u_{i}'=ν(u_{i-1}-2u_i+u_{i+1})-λu_{i}+f(u_i)+f_{i}(t)\ (i\in \mathbb Z,\ λ>0)$. We prove their dissipativness, asymptotic compactness and then the existence of compact global attractors.