Topological entropy and periods of graph maps

被引：3

作者：

Llibre, Jaume ^{[1
]}

Saghin, Radu ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, Catalonia, Spain

[2] Ctr Recerca Matemat, Catalonia, Spain

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2012年 / 18卷 / 04期

关键词：

graph maps; periodic points; periods; topological entropy; TREES;

D O I：

10.1080/10236198.2011.561202

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：589 / 598

页数：10

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