The Existence of Exponential Attractor for Discrete Ginzburg-Landau Equation

The Existence of Exponential Attractor for Discrete Ginzburg-Landau Equation

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 parameters α, ε, κ, β, and σ, we prove the existence of exponential attractor for the semigroup associated with these discrete syst...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2015-01, Vol.2015 (2015), p.516-521-051
Hauptverfasser: Du, Guangyin, Zhao, Caidi, Zhu, Zeqi
Format: Artikel
Sprache:eng
Schlagworte:
Differential equations
Discrete systems
Discrete-time systems
Dynamical systems
Dynamics
Group theory
Mathematical analysis
Mathematical models
Mathematical research
Ordinary differential equations
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Zusammenfassung: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 parameters α, ε, κ, β, and σ, we prove the existence of exponential attractor for the semigroup associated with these discrete systems.
ISSN:1026-0226
1607-887X
DOI:10.1155/2015/217608