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

被引：1

作者：

Alsedà, LL

Juher, D

Mumbrú, P

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain

[2] Univ Girona, Dept Informat Matemat Aplicada, Girona 17071, Spain

[3] Univ Barcelona, Dept Matemat Aplicada & Anal, Barcelona 08071, Spain

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 129卷 / 10期

关键词：

graph maps; periodic orbits; topological entropy;

D O I：

10.1090/S0002-9939-01-06134-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2941 / 2946

页数：6

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