Semiflows on topological spaces: Chain transitivity and semigroups

被引：56

作者：

Patrao, Mauro ^{[1
]}

San Martin, Luiz A. B. ^{[1
]}

机构：

[1] Univ Estadual Campinas, Inst Matemat, BR-13081970 Campinas, SP, Brazil

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2007年 / 19卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

semiflows; chain recurrence; semigroups; Morse decomposition;

D O I：

10.1007/s10884-006-9032-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies semiflows on topological spaces. A concept of chain recurrence, based on families of coverings, is introduced and related to Morse decomposition. The chain transitive components are studied via semigroup theory by the introduction of the shadowing semigroups associated to a sermflow.

引用

页码：155 / 180

页数：26

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