Attractors for second order periodic lattices with nonlinear damping

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.

Keywords:

• nonlinear lattices
• global attractor
• Green function
• sine-Gordon

Keywords:

• 35B41
• 39A12
• 39A10

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.

Notes

1. [email protected]

2. [email protected]

Additional information

Notes on contributors

J.C. Oliveira

1

J.M. Pereira

2