Axiomatic definition of the topological entropy on the interval

The aim of this paper is to give an axiomatic definition of the topological entropy for continuous interval maps and, in such a way, to shed some more light on the importance of the different properties of the topological entropy in this setting. We give two closely related axiomatic definitions of...

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Bibliographic Details
Published inAequationes mathematicae Vol. 65; no. 1; pp. 113 - 132
Main Authors Alsedà, Ll, Kolyada, S., Llibre, J., Snoha, L.
Format Journal Article
LanguageEnglish
Published Basel Springer Nature B.V 01.02.2003
Subjects
Entropy
Interval arithmetic
Topology
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Summary:The aim of this paper is to give an axiomatic definition of the topological entropy for continuous interval maps and, in such a way, to shed some more light on the importance of the different properties of the topological entropy in this setting. We give two closely related axiomatic definitions of topological entropy and an axiomatic characterization of the topological chaos. [PUBLICATION ABSTRACT]
ISSN:0001-9054
1420-8903
DOI:10.1007/s000100300008