Asymptotic behavior for second order lattice dynamical systems (Q5953157)

The author considers a spatial disrectization of a scalar damped semilinear wave equation. More precisely a onedimensional lattice dynamical system of diffusively coupled points, each with second order ODE and polynomial nonlinearity (odd with positive coefficients). Using ideas of an earlier paper by the author and other work on first order systems [\textit{P. W. Bates, K. Lu, B. Weng}, Attractors for lattice dynamical systems, Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 1, 143-153 (2001)], the author proves existence of a global attractor.