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
收藏
页码：181 / 198
页数：18
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