Topological entropy of continuous self-maps on a graph

被引：0

作者：

Juan Luis García Guirao

Jaume Llibre

Wei Gao

机构：

[1] Universidad Politécnica de Cartagena,Departamento de Matemática Aplicada y Estadística

[2] Hospital de Marina,Departament de Matemàtiques

[3] Universitat Autònoma de Barcelona,School of Information Science and Technology

[4] Yunnan Normal University,undefined

来源：

Computational and Applied Mathematics | 2019年 / 38卷

关键词：

Topological graph; Discrete dynamical systems; Lefschetz numbers; Lefschetz zeta function; Periodic point; Period; Topological entropy; 37E25; 37C25; 37C30;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let G be a graph and f be a continuous self-map on G. Using the Lefschetz zeta function of f, we provide a sufficient condition in order that f has positive topological entropy. Moreover, for some classes of graphs we improve this condition making it easier to check.

引用

共 50 条

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