Morse decomposition of semiflows on fiber bundles

被引：0
|
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：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2007年 / 17卷 / 03期
关键词：
chain transitivity; fiber bundles; semiflows; semi-simple Lie groups; flag manifolds; semigroups; Morse decomposition;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study chain transitivity and Morse decompositions of discrete and continuous-time semiflows on fiber bundles with emphasis on (generalized) flag bundles. In this case an algebraic description of the chain transitive sets is given. Our approach consists in embedding the semiflow in a semigroup of continuous maps to take advantage of the good properties of the semigroup actions on the flag manifolds.
引用
收藏
页码：561 / 587
页数：27
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