The Conley index and symbolic dynamics

  • Szymczak A
  • 5

    Readers

    Mendeley users who have this article in their library.
  • 47

    Citations

    Citations of this article.

Abstract

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.

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

  • Andrzej Szymczak

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free