Please use this identifier to cite or link to this item: 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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