Topological entropy and periods of graph maps

Jaume Llibre; Radu Saghin

doi:https://doi.org/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

Access to Document

https://doi.org/10.1080/10236198.2011.561202

https://ddd.uab.cat/record/150558

Cite this

@article{efb3a0f5532641be93ee3ed232800fc1,

title = "Topological entropy and periods of graph maps",

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. {\textcopyright} 2012 Copyright Taylor and Francis Group, LLC.",

keywords = "graph maps, periodic points, periods, topological entropy",

author = "Jaume Llibre and Radu Saghin",

year = "2012",

month = apr,

day = "1",

doi = "https://doi.org/10.1080/10236198.2011.561202",

language = "English",

volume = "18",

pages = "589--598",

journal = "Journal of Difference Equations and Applications",

issn = "1023-6198",

publisher = "Taylor and Francis Ltd.",

number = "4",

}

TY - JOUR

T1 - Topological entropy and periods of graph maps

AU - Llibre, Jaume

AU - Saghin, Radu

PY - 2012/4/1

Y1 - 2012/4/1

N2 - 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.

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.

KW - graph maps

KW - periodic points

KW - periods

KW - topological entropy

U2 - https://doi.org/10.1080/10236198.2011.561202

DO - https://doi.org/10.1080/10236198.2011.561202

M3 - Article

VL - 18

SP - 589

EP - 598

JO - Journal of Difference Equations and Applications

JF - Journal of Difference Equations and Applications

SN - 1023-6198

IS - 4

ER -

Topological entropy and periods of graph maps

Abstract

Keywords

Access to Document

Fingerprint

Cite this