The set of periods for the morse-smale diffeomorphisms on T 2

Juan Luis García Guirao, Jaume Llibre

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

Abstract

In this paper, by using the Lefschetz zeta function, we characterize the set of periods of the Morse-Smale diffeomorphisms defined on the two-dimensional torus for every homotopy class. Our characterization distinguish between the class of orientation-preserving and orientation-reversing Morse-Smale diffeomorphisms. Moreover, we also characterize the minimal set of periods of the Morse-Smale diffeomorphisms. Copyright © 2012 Watam Press.
Original languageEnglish
Pages (from-to)471-484
JournalDynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis
Volume19
Issue number4
Publication statusPublished - 24 Aug 2012

Keywords

  • Lefschetz number
  • Morse-Smale diffeomorphism
  • Set of periods
  • Zeta function

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