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：
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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.
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