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Stable Index Pairs for Discrete Dynamical Systems

Published online by Cambridge University Press:  20 November 2018

Tomasz Kaczynski  and
Marian Mrozek
Tomasz Kaczynski
Affiliation:
Département de mathématiques et d’informatique, Sherbrooke, Québec, J1K 2R1, [email protected]
Marian Mrozek
Affiliation:
Instytut Informatyki, Uniwersytet Jagiellónski, PL-30-072 Kraków, Poland, [email protected]
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Abstract

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A new shorter proof of the existence of index pairs for discrete dynamical systems is given. Moreover, the index pairs defined in that proof are stable with respect to small perturbations of the generating map. The existence of stable index pairs was previously known in the case of diffeomorphisms and flows generated by smooth vector fields but it was an open question in the general discrete case.

Keywords

Primary: 54H20secondary: 54C6034C35
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 40 , Issue 4 , 01 December 1997 , pp. 448 - 455
Copyright
Copyright © Canadian Mathematical Society 1997

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