Attractors for second order periodic lattices with nonlinear damping

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.

Saved in:
Bibliographic Details
Published in:Journal of difference equations and applications 2008-09, Vol.14 (9), p.899-921
Main Authors: Oliveira, J.C., Pereira, J.M., Perla Menzala, G.
Format: Article
Language:English
Subjects:
global attractor
Green function
nonlinear lattices
sine-Gordon
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190701859211