Attractors for second order periodic lattices with nonlinear damping

@inproceedings{Oliveira2008AttractorsFS,
  title={Attractors for second order periodic lattices with nonlinear damping},
  author={J{\'a}uber C. Oliveira and Jardel Morais Pereira and G. Perla Menzala},
  year={2008}
}
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.