Comparison of some dynamical systems on the quotient space of the Sierpinski tetrahedron

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:72 Issue:1
Comparison of some dynamical systems on the quotient space of the Sierpinski tetrahedron

Comparison of some dynamical systems on the quotient space of the Sierpinski tetrahedron

Authors : Nisa ASLAN, Mustafa SALTAN, Bünyamin DEMİR

Pages : 229-239

Doi:10.31801/cfsuasmas.1126635

View : 20 | Download : 9

Publication Date : 2023-03-30

Article Type : Research Paper

Abstract :In this paper, it is aimed to construct two different dynamical systems on the Sierpinski tetrahedron. To this end, we consider the dynamical systems on a quotient space of $\\{ 0,1,2,3 \\}^{\\mathbb{N}}$ by using the code representations of the points on the Sierpinski tetrahedron. Finally, we compare the periodic points to investigate topological conjugacy of these dynamical systems and we conclude that they are not topologically equivalent.
Keywords : Sierpinski tetrahedron, quotient space, code representation, dynamical systems, topological conjugacy

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