A note on the periodic orbits and topological entropy of graph maps

Lluis Alseda Soler; D. Juher; P. Mumbrú

doi:10.1090/S0002-9939-01-06134-2

A note on the periodic orbits and topological entropy of graph maps

Lluis Alseda Soler, D. Juher, P. Mumbrú

Department of Mathematics

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

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Abstract

This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits. © 2001 American Mathematical Society.

Original language	English
Pages (from-to)	2941-2946
Journal	Proceedings of the American Mathematical Society
Volume	129
Issue number	10
DOIs	https://doi.org/10.1090/S0002-9939-01-06134-2
Publication status	Published - 1 Dec 2001

Keywords

Graph maps
Periodic orbits
Topological entropy

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10.1090/S0002-9939-01-06134-2

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title = "A note on the periodic orbits and topological entropy of graph maps",

abstract = "This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits. {\textcopyright} 2001 American Mathematical Society.",

keywords = "Graph maps, Periodic orbits, Topological entropy",

author = "{Alseda Soler}, Lluis and D. Juher and P. Mumbr{\'u}",

year = "2001",

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T1 - A note on the periodic orbits and topological entropy of graph maps

AU - Alseda Soler, Lluis

AU - Juher, D.

AU - Mumbrú, P.

PY - 2001/12/1

Y1 - 2001/12/1

N2 - This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits. © 2001 American Mathematical Society.

AB - This paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy of its periodic orbits. © 2001 American Mathematical Society.

KW - Graph maps

KW - Periodic orbits

KW - Topological entropy

U2 - 10.1090/S0002-9939-01-06134-2

DO - 10.1090/S0002-9939-01-06134-2

M3 - Article

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VL - 129

SP - 2941

EP - 2946

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

A note on the periodic orbits and topological entropy of graph maps

Abstract

Keywords

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