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

Year 2023, Volume: 72 Issue: 1, 229 - 239, 30.03.2023

Nisa Aslan , Mustafa Saltan , Bünyamin Demir

https://doi.org/10.31801/cfsuasmas.1126635

Cited By: 1

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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