Sierpinski四面体商空间上若干动力系统的比较

IF 0.7 Q2 MATHEMATICS Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics Pub Date : 2023-03-30 DOI:10.31801/cfsuasmas.1126635

N. Aslan, M. Saltan, B. Demir

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摘要

本文的目的是在Sierpinski四面体上构造两个不同的动力系统。为此，我们通过使用Sierpinski四面体上点的代码表示来考虑商空间$\｛0，1，2，3 \｝^｛\mathbb｛N｝｝$上的动力系统。最后，我们比较了这些动力学系统的周期点来研究它们的拓扑共轭性，并得出它们在拓扑上不等价的结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics MATHEMATICS-

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