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https://hdl.handle.net/20.500.13087/227
Title: | The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron | Authors: | Aslan, Nisa Saltan, Mustafa Demir, Bünyamin |
Keywords: | Sierpinski tetrahedron Code representation Intrinsic metric Chaotic dynamical systems Periodic points |
Issue Date: | 2019 | Publisher: | Pergamon-Elsevier Science Ltd | Abstract: | The intrinsic metric formula on the code set of the Sierpinski Gasket is explicitly given in Definition 1.1. In this paper, we obtain the intrinsic metric formula on the code set of the Sierpinski tetrahedron and we investigate some geometrical properties of this structure. Moreover, we define a dynamical system on the Sierpinski tetrahedron and then we give an algorithm to compute the periodic points of this dynamical system. Finally, we show that this dynamical system is both Devaney chaotic and Li-Yorke chaotic. (C) 2019 Elsevier Ltd. All rights reserved. | URI: | https://doi.org/10.1016/j.chaos.2019.04.018 https://hdl.handle.net/20.500.13087/227 |
ISSN: | 0960-0779 1873-2887 |
Appears in Collections: | Fizik Bölümü Koleksiyonu Scopus İndeksli Yayınlar Koleksiyonu WoS İndeksli Yayınlar Koleksiyonu |
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