Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/1628
Title: A discrete chaotic dynamical system on the Sierpinski gasket
Authors: Saltan, Mustafa
Aslan, Nisa
Demir, Bünyamin
Keywords: Matematik
Issue Date: 2019
Abstract: The Sierpinski gasket (also known as the Sierpinski triangle) is one of the fundamental models of self-similar sets. There have been many studies on different features of this set in the last decades. In this paper, initially we construct a dynamical system on the Sierpinski gasket by using expanding and folding maps. We then obtain a surprising shift map on the code set of the Sierpinski gasket, which represents the dynamical system, and we show that this dynamical system is chaotic on the code set of the Sierpinski gasket with respect to the intrinsic metric. Finally, we provide an algorithm to compute periodic points for this dynamical system.
URI: https://doi.org/10.3906/mat-1803-77
https://app.trdizin.gov.tr/makale/TXpNMk5qSXhNUT09
https://hdl.handle.net/20.500.13087/1628
ISSN: 1300-0098
1303-6149
Appears in Collections:Pilotaj Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
TR-Dizin İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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