Relation between Different Types of Global Attractors of Set-Valued Nonautonomous Dynamical Systems

被引：0
|
作者：
David Cheban
Cristiana Mammana
机构：
[1] State University of Moldova,
[2] University of Macerata,undefined
来源：
Set-Valued Analysis | 2005年 / 13卷
关键词：
global attractor; set-valued dynamical systems; forward, pullback and trajectory attractors; absolute asymptotic stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The article is devoted to the study of the relation between forward and pullback attractors of set-valued nonautonomous dynamical systems (cocycles). Here it is proved that every compact global forward attractor is also a pullback attractor of the set-valued nonautonomous dynamical system. The inverse statement, generally speaking, is not true, but we prove that every global pullback attractor of an α-condensing set-valued cocycle is always a local forward attractor. The obtained general results are applied while studying periodic and homogeneous systems. We give also a new criterion of the absolute asymptotic stability of nonstationary discrete linear inclusions.
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页码：291 / 321
页数：30
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