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ArticleOriginal scientific text

Title

Index filtrations and Morse decompositions for discrete dynamical systems

Authors 1, 1

Affiliations

  1. Institute of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland

Abstract

On a Morse decomposition of an isolated invariant set of a homeomorphism (discrete dynamical system) there are partial orderings defined by the homeomorphism. These are called admissible orderings of the Morse decomposition. We prove the existence of index filtrations for admissible total orderings of a Morse decomposition and introduce the connection matrix in this case.

Keywords

ENG
Conley index, index filtration, Morse decomposition, connection matrix

Bibliography

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Annales Polonici Mathematici
1999/72/1
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Pages:
51-70
Main language of publication
English
Received
1998-06-22
Accepted
1999-03-24
Published
1999
Exact and natural sciences