The Conley index and countable decompositions of invariant sets

Marian Gidea

Banach Center Publications (1999)

  • Volume: 47, Issue: 1, page 91-108
  • ISSN: 0137-6934

Abstract

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We define a new cohomological index of Conley type associated to any bi-infinite sequence of neighborhoods that satisfies a certain isolation condition. We use this index to study the chaotic dynamics on invariant sets which decompose as countable unions of pairwise disjoint (mod 0) compact pieces.

How to cite

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Gidea, Marian. "The Conley index and countable decompositions of invariant sets." Banach Center Publications 47.1 (1999): 91-108. <http://eudml.org/doc/208945>.

@article{Gidea1999,
abstract = {We define a new cohomological index of Conley type associated to any bi-infinite sequence of neighborhoods that satisfies a certain isolation condition. We use this index to study the chaotic dynamics on invariant sets which decompose as countable unions of pairwise disjoint (mod 0) compact pieces.},
author = {Gidea, Marian},
journal = {Banach Center Publications},
keywords = {isolated set; Conley index; detection of chaos},
language = {eng},
number = {1},
pages = {91-108},
title = {The Conley index and countable decompositions of invariant sets},
url = {http://eudml.org/doc/208945},
volume = {47},
year = {1999},
}

TY - JOUR
AU - Gidea, Marian
TI - The Conley index and countable decompositions of invariant sets
JO - Banach Center Publications
PY - 1999
VL - 47
IS - 1
SP - 91
EP - 108
AB - We define a new cohomological index of Conley type associated to any bi-infinite sequence of neighborhoods that satisfies a certain isolation condition. We use this index to study the chaotic dynamics on invariant sets which decompose as countable unions of pairwise disjoint (mod 0) compact pieces.
LA - eng
KW - isolated set; Conley index; detection of chaos
UR - http://eudml.org/doc/208945
ER -

References

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  14. [14] M. Mrozek, Index pairs and the fixed point index for semidynamical systems with discrete time, Fundamenta Mathematicae 133 (1989), 179-194. Zbl0708.58024
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