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Title: The investigation of chaos conditions of some dynamical systems on the Sierpinski propeller
Authors: Aslan, Nisa
Şeker, Saliha
Saltan, Mustafa
Keywords: Sierpinski propeller
Code representations
Chaotic dynamical systems
Periodic points
Intrinsic metrics
Topological conjugacy
Issue Date: 2022
Publisher: Pergamon-Elsevier Science Ltd
Abstract: The aim of the present paper is to construct different dynamical systems on a fractal which is a not strictly self similar set and examine chaos conditions on this structure. For this reason, we consider Sierpinski propeller as the main model and define composition functions by using some transformations such as expanding and folding mappings considering the structure of the fractal. Then, we express these systems by the code representations of their points. Moreover, we compute the periodic points of the dynamical systems and investigate whether they are chaotic or not. Finally, we compare these dynamical systems in the sense of topological conjugacy.(c) 2022 Elsevier Ltd.
ISSN: 0960-0779
Appears in Collections:Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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