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Attractors for second order periodic lattices with nonlinear damping
Authors:
J. C. Oliveira -
a;
J. M. Pereira -
a;
G. Perla Menzala bc
| Affiliations: | a Departamento de Matem tica, Universidade Federal de Santa Catarina, Florian polis, SC, Brasil |
| b National Laboratory of Scientific Computation LNCC/MCT, Petropolis, RJ, Brasil | |
| c Institute of Mathematics, Federal University of Rio de Janeiro, Rio de Janeiro, RJ, Brasil |
DOI:
10.1080/10236190701859211
Publication Frequency:
12 issues per year
Published in:
Journal of Difference Equations and Applications,
Volume
14,
Issue
9
September
2008
, pages 899
- 921
First Published:
September
2008
Journal of Difference Equations and Applications,
Volume
14,
Issue
9
September
2008
, pages 899
- 921
Subjects:
Analysis - Mathematics;
Applied Mathematics;
Chaos Theory;
Differential Equations;
Dynamical Systems;
Mathematical Biology;
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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: 35B41; 39A12; 39A10 |
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