Period sets of linear toral endomorphisms on T^2
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Neumärker, Natascha (Univerzity v Opavê. Matemátický ústav Slezské)

Date:	2015
Abstract:	The period set of a dynamical system is defined as the subset of all integers n such that the system has a periodic orbit of length n. Based on known results on the intersection of period sets of torus maps within a homotopy class, we give a complete classification of the period sets of (not necessarily invertible) toral endomorphisms on the 2-dimensional torus T^2.
Grants:	Ministerio de Ciencia y Tecnología MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 European Commission 316338 European Commission 318999 Ministerio de Economía y Competitividad UNAB13-4E-1604
Note:	Agraïments: The second author gratefully acknowledges the funding of the four months stay at the Universitat Autònoma de Barcelona within the project Rozvoj vedeckých kapacit Slezské univerzity v Opave (CZ.1.07/2.3.00/30.0007).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	2-dimensional torus maps ; Periodic point ; Toral endomorphisms
Published in:	Topology and its applications, Vol. 185-186 (2015) , p. 41-49, ISSN 0166-8641

DOI: 10.1016/j.topol.2015.02.003

Postprint 10 p, 334.9 KB

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