Abstract
We consider second order nonlinear lattices under the effect of nonlinear damping. The family we study is subject to cyclic boundary conditions and includes as distinguished examples the Fermi–Pasta–Ulam and sine-Gordon lattices. We prove global well posedness and existence of a global attractor.
Acknowledgements
The third author (G.P.M.) was partially supported by a Research Grant of CNPq (Proc. 306282/2003-8) and PRONEX (LNCC) from the Brazilian Government (MCT, Brasil). He would like to express his gratitude for such important support.