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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

Xiaoming Fan

Department of Mathematics, Southwest Jiaotong University, Chengdu 610031, China

Received 22 November 2007; Accepted 2 March 2008

Recommended by Andrei Agrachev

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.