descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2015 English Publisher:WileyJournal:Discrete Dynamics in Nature and Society, volume 2,015, pages 1-6 (issn: 1026-0226, eissn: 1607-887X,

Authors: Guangyin Du; Zeqi Zhu; Caidi Zhao;

doi: 10.1155/2015/217608

The Existence of Exponential Attractor for Discrete Ginzburg-Landau Equation

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Abstract

This paper studies the following discrete systems of the complex Ginzburg-Landau equation:iu˙m-(α-iε)(2um-um+1-um-1)+iκum+βum2σum=gm, m∈Z. Under some conditions on the parametersα, ε, κ, β, andσ, we prove the existence of exponential attractor for the semigroup associated with these discrete systems.

Related Organizations

Chinese Academy of Sciences
China (People's Republic of)
Institute of Rock and Soil Mechanics
China (People's Republic of)
Southeast University
China (People's Republic of)
Wenzhou University
China (People's Republic of)
State Key Laboratory of Geomechanics and Geotechnical Engineering
China (People's Republic of)

Keywords

QA1-939, Attractors and repellers of smooth dynamical systems and their topological structure, Mathematics

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