ON THE DYNAMICS OF FLOWS ON COMPACT METRIC SPACES

被引：2

作者：

Choy, Jaeyoo ^{[2
]}

Chu, Hahng-Yun ^{[1
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Taejon 305701, South Korea

[2] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2010年 / 9卷 / 01期

关键词：

Envelope; flow; omega-limit sets; TOPOLOGICAL DYNAMICS; SEMIGROUP;

D O I：

10.3934/cpaa.2010.9.103

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a (generalized) envelope of flows on compact metric spaces. This partly generalizes the notion of envelope of maps in discrete geometry ([3]). We clarify a certain distinction between the flow geometry and the discrete one, which is explained by showing that any co-limit set for an envelope of flows is an empty set, whereas it is nonempty in general in discrete case.

引用

页码：103 / 108

页数：6

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