Attractors for partly dissipative lattice dynamic systems in

Abstract: In this paper, we study the asymptotic behavior of solutions for the partly dissipative lattice dynamical systems in . We prove the asymptotic compactness of the solutions and then establish the existence of the global attractor in . The upper semicontinuity of the global attractor is also considered by finite-dimensional approximations of attractors for the lattice systems. [Copyright &y& Elsevier]