Journal of Applied Mathematics
Volume 2008 (2008), Article ID 354652, 8 pages
doi:10.1155/2008/354652
Research Article
Exponential Attractor for a First-Order Dissipative Lattice Dynamical System
Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
Received 22 November 2007; Accepted 2 March 2008
Academic Editor: Andrei Agrachev
Copyright © 2008 Xiaoming Fan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in ℝk. And we obtain fractal dimension of the exponential attractor.