On the periods of a continuous self-map on a graph
Guirao, Juan Luis Garcia (Universidad Politécnica de Cartagena. Departamento de Matemática Aplicada y Estadística)
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Date:	2019
Abstract:	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.
Grants:	Ministerio de Economía y Competitividad MTM2014-51891-P Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Topological graph ; Discrete dynamical systems ; Lefschetz numbers ; Lefschetz zeta function ; Periodic point ; Period
Published in:	Computational & Applied Mathematics, Vol. 38, Issue 2 (June 2019) , art. 78, ISSN 1807-0302

DOI: 10.1007/s40314-019-0846-0

Postprint 7 p, 419.1 KB

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