Period sets of linear toral endomorphisms on T2

Jaume Llibre, Natascha Neumärker

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© 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.
Original languageEnglish
Pages (from-to)41-49
JournalTopology and its Applications
Volume185-186
DOIs
Publication statusPublished - 1 May 2015

Keywords

  • 2-Dimensional torus maps
  • Period
  • Periodic points
  • Primary
  • Toral endomorphisms

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