Periodic Points of Regular Curve Homeomorphisms

• Dagh, Aymen ^[1] ; Naghmouchi, Issam ^[1] ; Riahi, Moncef ^[1]
  1. [1] University of Carthage

     University of Carthage

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• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 2, 2021
• Idioma: inglés
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• Resumen

  • We prove that, if f : X → X is a regular curve homeomorphism then the set of periodic points is either empty or dense in the set of non-wandering points. Moreover, we prove that each infinite minimal set is approximated by periodic orbits and is conjugate to an adding machine when the set of periodic points is not empty. Furthermore, we give a characterization of equicontinuous regular curve homeomorphisms