Axiomatic definition of the topological entropy on the interval

Lluís Alsedà; Sergiǐ Kolyada; Jaume Llibre; L'ubomír Snoha

doi:10.1007/s000100300008

Axiomatic definition of the topological entropy on the interval

Lluís Alsedà, Sergiǐ Kolyada, Jaume Llibre, L'ubomír Snoha

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	113-132
Journal	Aequationes Mathematicae
Volume	65
Issue number	1-2
DOIs	https://doi.org/10.1007/s000100300008
Publication status	Published - 1 Jan 2003

Keywords

Axiomatic definition
Chaos
Factor
Interval maps
Iterate
Iterative root
Lower semicontinuity
Pouring water
Semiconjugacy
Topological entropy

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10.1007/s000100300008

Cite this

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KW - Factor

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KW - Iterate

KW - Iterative root

KW - Lower semicontinuity

KW - Pouring water

KW - Semiconjugacy

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Axiomatic definition of the topological entropy on the interval

Abstract

Keywords

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