Strong Chain Transitivity via Uniformity

• Seyyed Alireza Ahmadi ^[1]
  1. [1] University of Sistan and Baluchestan
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 23, Nº 3, 2024
• Idioma: inglés
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• Resumen

  • We introduce topological definitions of strong chain transitivity and we prove that topological average shadowing and topological pseudo-orbital specification each imply topological strong chain transitivity. Furthermore, we introduce the notion of the topological Lipschitz property and we show that it is a sufficient condition for the coincidence of the strong chain recurrent set of a dynamical system and its iterations.