Home > Articles > Published articles > Period sets of linear toral endomorphisms on T^2 |
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 |
Postprint 10 p, 334.9 KB |