Period sets of linear toral endomorphisms on T2

Jaume Llibre; Natascha Neumärker

doi:10.1016/j.topol.2015.02.003

Period sets of linear toral endomorphisms on T²

Jaume Llibre, Natascha Neumärker

Departament de Matemàtiques

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Resum

© 2015 Published by Elsevier B.V. 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 T2.

Idioma original	Anglès
Pàgines (de-a)	41-49
Revista	Topology and its Applications
Volum	185-186
DOIs	https://doi.org/10.1016/j.topol.2015.02.003
Estat de la publicació	Publicada - 1 de maig 2015

Accés al document

10.1016/j.topol.2015.02.003

https://ddd.uab.cat/record/145324

Altres arxius i enllaços

https://www.scopus.com/pages/publications/84925536198

Com citar-ho

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AB - © 2015 Published by Elsevier B.V. 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 T2.

KW - 2-Dimensional torus maps

KW - Period

KW - Periodic points

KW - Primary

KW - Toral endomorphisms

UR - https://www.scopus.com/pages/publications/84925536198

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DO - 10.1016/j.topol.2015.02.003

M3 - Article

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JO - Topology and its Applications

JF - Topology and its Applications