Journal of Applied Mathematics
Volume 2008 (2008), Article ID 354652, 8 pages
Research Article

Exponential Attractor for a First-Order Dissipative Lattice Dynamical System

Xiaoming Fan

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.


We construct an exponential attractor for a first-order dissipative lattice dynamical system arising from spatial discretization of reaction-diffusion equations in k. And we obtain fractal dimension of the exponential attractor.