Topological entropy and periods of graph maps

Jaume Llibre; Radu Saghin

doi:10.1080/10236198.2011.561202

Topological entropy and periods of graph maps

Jaume Llibre, Radu Saghin

Department of Mathematics

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

3 Citations (Scopus)

Abstract

We give a complete description of the set of periods of continuous self-maps on graphs which have zero topological entropy and have all their branching points fixed. As a corollary, we get a criterion for positive topological entropy for continuous self-maps on graphs. We also prove that the results are optimal. © 2012 Copyright Taylor and Francis Group, LLC.

Original language	English
Pages (from-to)	589-598
Journal	Journal of Difference Equations and Applications
Volume	18
Issue number	4
DOIs	https://doi.org/10.1080/10236198.2011.561202
Publication status	Published - 1 Apr 2012

Keywords

graph maps
periodic points
periods
topological entropy

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AB - We give a complete description of the set of periods of continuous self-maps on graphs which have zero topological entropy and have all their branching points fixed. As a corollary, we get a criterion for positive topological entropy for continuous self-maps on graphs. We also prove that the results are optimal. © 2012 Copyright Taylor and Francis Group, LLC.

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