Topological entropy of continuous self-maps on a graph

Juan Luis García Guirao; Jaume Llibre; Wei Gao

doi:10.1007/s40314-019-0969-3

Topological entropy of continuous self-maps on a graph

Juan Luis García Guirao, Jaume Llibre, Wei Gao

Department of Mathematics

Research output: Contribution to journal › Article › Research

1 Citation (Scopus)

Abstract

© 2019, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. 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.

Original language	English
Article number	154
Journal	Computational and Applied Mathematics
Volume	38
Issue number	4
DOIs	https://doi.org/10.1007/s40314-019-0969-3
Publication status	Published - 1 Oct 2019

Keywords

Discrete dynamical systems
Lefschetz numbers
Lefschetz zeta function
Period
Periodic point
Topological entropy
Topological graph

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10.1007/s40314-019-0969-3

Cite this

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AU - Guirao, Juan Luis García

AU - Llibre, Jaume

AU - Gao, Wei

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N2 - © 2019, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. 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.

AB - © 2019, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. 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.

KW - Discrete dynamical systems

KW - Lefschetz numbers

KW - Lefschetz zeta function

KW - Period

KW - Periodic point

KW - Topological entropy

KW - Topological graph

UR - http://www.mendeley.com/research/topological-entropy-continuous-selfmaps-graph

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DO - 10.1007/s40314-019-0969-3

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VL - 38

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 4

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ER -

Topological entropy of continuous self-maps on a graph

Abstract

Keywords

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