On the periods of a continuous self-map on a graph

Juan Luis García Guirao; Jaume Llibre

doi:https://doi.org/10.1007/s40314-019-0846-0

On the periods of a continuous self-map on a graph

Juan Luis García Guirao, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research

3 Citations (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. We present new and known results (from another point of view) on the periods of the periodic orbits of f using mainly the action of f on its homology, or the shape of the graph G.

Original language	English
Article number	78
Journal	Computational and Applied Mathematics
Volume	38
DOIs	https://doi.org/10.1007/s40314-019-0846-0
Publication status	Published - 1 Jun 2019

Keywords

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

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https://doi.org/10.1007/s40314-019-0846-0

https://ddd.uab.cat/record/204396

Cite this

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title = "On the periods of a continuous self-map on a graph",

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AU - Guirao, Juan Luis García

AU - Llibre, Jaume

PY - 2019/6/1

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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. We present new and known results (from another point of view) on the periods of the periodic orbits of f using mainly the action of f on its homology, or the shape of the graph G.

AB - © 2019, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional. Let G be a graph and f be a continuous self-map on G. We present new and known results (from another point of view) on the periods of the periodic orbits of f using mainly the action of f on its homology, or the shape of the graph G.

KW - Discrete dynamical systems

KW - Lefschetz numbers

KW - Lefschetz zeta function

KW - Period

KW - Periodic point

KW - Topological graph

U2 - https://doi.org/10.1007/s40314-019-0846-0

DO - https://doi.org/10.1007/s40314-019-0846-0

M3 - Article

VL - 38

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

SN - 0101-8205

M1 - 78

ER -

On the periods of a continuous self-map on a graph

Abstract

Keywords

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