On the Kneser property for the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion

被引：25

作者：

Kapustyan, A. V. ^{[2
]}

Valero, J. ^{[1
]}

机构：

[1] Univ Miguel Hernandez, Ctr Invest Operat, Alicante 03202, Spain

[2] Kiev Natl Taras Shevchenko Univ, UA-01033 Kiev, Ukraine

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2009年 / 357卷 / 01期

关键词：

Reaction-diffusion system; Set-valued dynamical system; Global attractor; Kneser property; Multivalued process; Multivalued semiflow; ATTRACTORS; INCLUSIONS;

D O I：

10.1016/j.jmaa.2009.04.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Kneser property (i.e. the compactness and connectedness for the attainability set of solutions) for a reaction-diffusion system including as a particular case the complex Ginzburg-Landau equation and the Lotka-Volterra system with diffusion. Using this property we obtain also that the global attractor of this system in both the autonomous and non-autonomous cases is connected. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：254 / 272

页数：19

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