The Conley index and symbolic dynamics

被引：56

作者：

Szymczak, A ^{[1
]}

机构：

[1] POLISH ACAD SCI,INST MATH,PL-81825 SOPOT,POLAND

来源：

TOPOLOGY | 1996年 / 35卷 / 02期

关键词：

FIXED-POINT INDEX; SYSTEMS; PAIRS;

D O I：

10.1016/0040-9383(95)00029-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Suppose that N is an isolating neighborhood for S with respect to a continuous map f which decomposes into a disjoint union of finitely many compact sets. We establish a relationship between the Conley indices of subsets of S which appear in a natural way when studying the behavior of f from the viewpoint of symbolic dynamics. The relationship is then used to prove a simple criterion for chaos in an isolated invariant set.

引用

页码：287 / 299

页数：13

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