Conley barriers and their applications: Chain-recurrence and Lyapunov functions

被引：9

作者：

Pageault, Pierre ^{[1
]}

机构：

[1] ENS, UMPA, F-69007 Lyon, France

来源：

TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 15期

关键词：

Chain-recurrence; Lyapunov functions;

D O I：

10.1016/j.topol.2009.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a compact metric space X and a continuous map f from X to itself, we construct a barrier function for chain-recurrence. We use it to endow the space of chain-transitive components with a non-trivial ultrametric distance and to construct Lyapunov functions for f. Most of these constructions are then generalized on an arbitrary separable metric space to a continuous compactum-valued map. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2426 / 2442

页数：17

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