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.
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页码：2941 / 2946
页数：6
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