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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 : 19 | Download : 8
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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