COMPARISON OF SOME DYNAMICAL SYSTEMS ON THE QUOTIENT SPACE OF THE SIERPINSKI TETRAHEDRON

被引：1

作者：

Aslan, Nisa ^{[1
]}

Saltan, Mustafa ^{[1
]}

Demir, Bunyamin ^{[1
]}

机构：

[1] Eskisehir Tech Univ, Dept Math, Eskisehir, Turkiye

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2023年 / 72卷 / 01期

关键词：

Sierpinski tetrahedron; quotient space; code representation; dynamical systems; topological conjugacy; FORMULA; SET;

D O I：

10.31801/cfsuasmas.1126635

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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}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.

引用

页码：229 / 239

页数：11