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.
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