Topological entropy and periods of graph maps
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Saghin, Radu (Universitat Autònoma de Barcelona. Centre de Recerca per a l'Educació Científica i Matemàtica)

Date:	2012
Abstract:	We give a complete description of the set of periods of continuous self-maps on graphs which have zero topological entropy and all their branching points are fixed. As a corollary we get a criterion for positive topological entropy for continuous self-maps on graphs. We also prove that the results are optimal.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Agraïments: The second author has been supported by Marie Curie IEF grant number 234559, and would like to thank CRM Barcelona for their hospitality.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Graph maps ; Periodic points ; Periods ; Topological entropy
Published in:	Journal of Difference Equations and Applications, Vol. 18 Núm. 4 (2012) , p. 589-598, ISSN 1563-5120

DOI: 10.1080/10236198.2011.561202

Postprint 10 p, 302.2 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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