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

Nisa Aslan; Mustafa Saltan; Bünyamin Demir

Makale detayları

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

Yazarlar:

Nisa Aslan | Mustafa Saltan | Bünyamin Demir

Yayıncı:

Ankara University

Ana Başlıklar:

Applied Mathematics

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.229-239

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001285004

pISSN:

1303-5991

Anahtar kelimeler:

Özet:

 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 mathbbN 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.

 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 mathbbN 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.

 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 mathbbN 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.

 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 mathbbN 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.

Makale detayları

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

Yazarlar: Nisa Aslan | Mustafa Saltan | Bünyamin Demir

Yayıncı: Ankara University

Ana Başlıklar: Applied Mathematics

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.229-239

Belge Tipi: Makale

Yayın Tarihi: 3/2023

Belge Dili: İngilizce

Document ID (Org No.): 2001285004

pISSN: 1303-5991

Sierpinski tetrahedron

quotient space

code representation

dynamical systems

topological conjugacy

Sayı

Yazarlar:

Nisa Aslan | Mustafa Saltan | Bünyamin Demir

Yayıncı:

Ankara University

Ana Başlıklar:

Applied Mathematics

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Vol.72 Issue 1, pp.229-239

Belge Tipi:

Makale

Yayın Tarihi:

3/2023

Belge Dili:

İngilizce

Document ID (Org No.):

2001285004

pISSN:

1303-5991