Exponential Attractor for a First-Order Dissipative Lattice Dynamical System

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.

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Bibliographic Details
Main Author: Xiaoming Fan
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2008/354652
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Description
Summary: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.
ISSN:1110-757X
1687-0042