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ArticleOriginal scientific text

Title

Connection matrix theory for discrete dynamical systems

Authors 1, 1

Affiliations

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

Abstract

In [C] and [F1] the connection matrix theory for Morse decomposition is developed in the case of continuous dynamical systems. Our purpose is to study the case of discrete time dynamical systems. The connection matrices are matrices between the homology indices of the sets in the Morse decomposition. They provide information about the structure of the Morse decomposition; in particular, they give an algebraic condition for the existence of connecting orbit set between different Morse sets.

Keywords

ENG
Conley index, Morse decomposition, connection matrix

Bibliography

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Banach Center Publications
1999/47/1
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Pages:
67-78
Main language of publication
English
Published
1999
Exact and natural sciences