Attractors for a second order nonautonomous lattice dynamical system with nonlinear damping

In this Letter, the existence of compact pullback attractors is considered for a second order nonautonomous lattice dynamical system with nonlinear damping arising from spatial discretization of wave equations in RkRk. And the finite-dimensional approximations of the attractors are studied. Finally, an upper bound of fractal dimension of the attractors is obtained.