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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.
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- Category:
- Magazine publication
- Type:
- Magazine publication
- Published in:
-
BANACH CENTER PUBLICATIONS
no. 47,
pages 67 - 78,
ISSN: 0137-6934 - Title of issue:
- Conley Index Theory strony 67 - 78
- Publication year:
- 1999
- Verified by:
- No verification
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