Morse decomposition of semiflows on topological spaces

被引：30

作者：

Patrao, Mauro ^{[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; topological spaces; Morse decompositions; Lyapunov functions;

D O I：

10.1007/s10884-006-9033-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies Morse decompositions of discrete and continuous-time semiflows on compact Hausdorff topological spaces. We extend two classical results which arc well-known facts for flows on compact metric spaces: the characterization of the Morse decompositions through increasing sequences of attractors and the existence of Lyapunov functions.

引用

页码：181 / 198

页数：18

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