Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.13087/2720
Title: On Topological Conjugacy of Some Chaotic Dynamical Systems on the Sierpinski Gasket
Authors: Aslan, Nisa
Saltan, Mustafa
Demir, Bünyamin
Keywords: Sierpinski gasket
code representation
intrinsic metric
chaotic dynamical systems
topological conjugacy
Formula
Issue Date: 2021
Publisher: Univ Nis, Fac Sci Math
Abstract: The dynamical systems on the classical fractals can naturally be obtained with the help of their iterated function systems. In the recent years, different ways have been developed to define dynamical systems on the self similar sets. In this paper, we give composition functions by using expanding and folding mappings which generate the classical Sierpinski Gasket via the escape time algorithm. These functions also indicate dynamical systems on this fractal. We express the dynamical systems by using the code representations of the points. Then, we investigate whether these dynamical systems are topologically conjugate (equivalent) or not. Finally, we show that the dynamical systems are chaotic in the sense of Devaney and then we also compute and compare the periodic points.
URI: https://doi.org/10.2298/FIL2107317A
https://hdl.handle.net/20.500.13087/2720
ISSN: 0354-5180
Appears in Collections:Matematik Bölümü Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

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