Relation between different types of global attractors of set-valued nonautonomous dynamical systems

被引：11

作者：

Cheban, D

Mammana, C

机构：

[1] State Univ Moldova, MD-2009 Kishinev, Moldova

[2] Univ Macerata, I-62100 Macerata, Italy

来源：

SET-VALUED ANALYSIS | 2005年 / 13卷 / 03期

关键词：

global attractor; set-valued dynamical systems; forward; pullback and trajectory attractors; absolute asymptotic stability;

D O I：

10.1007/s11228-004-0046-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 alpha-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.

引用

页码：291 / 321

页数：31