Equicontinuous Actions on Semi-Locally Connected and Local Dendrites

• Haj Sale, Aymen ^[1]
  1. [1] Institut Supérieur de Gestion de Gabès
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 2, 2021
• Idioma: inglés
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• Resumen

  • We show a necessary and sufficient condition of equicontinuous semi-locally connected flow. Moreover, we give a sufficient condition of the existence of almost automorphic points, for general flow. We further study equicontinuous local dendrites flows with finitely generated group action. Consequently, we obtain a generalization of Morales’s results in Morales (Topol Appl 198: 101–106, 2016) and Theorem of Su and Qin in Su and Qin (J Differ Equ 25: 1744–1754, 2019).