Abstract
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).
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Haj Salem, A. Equicontinuous Actions on Semi-Locally Connected and Local Dendrites. Qual. Theory Dyn. Syst. 20, 39 (2021). https://doi.org/10.1007/s12346-021-00477-7
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DOI: https://doi.org/10.1007/s12346-021-00477-7