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

共 41 条

[31] Comparison of Auxiliary and Likelihood Particle Filters for State Estimation of Dynamical Systems
Michalski, Jacek
Kozierski, Piotr
Zietkiewicz, Joanna
PRZEGLAD ELEKTROTECHNICZNY, 2018, 94 (12): : 86 - 90
[32] Lyapunov Exponents and Invariant Manifolds for Random Dynamical Systems in a Banach Space Introduction
Lian, Zeng
Lu, Kening
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 206 (967) : 1 - +
[33] DYNAMICAL SYSTEMS ON SOME ELLIPTIC MODULAR SURFACES VIA OPERATORS ON LINE ARRANGEMENTS
Kuehne, Lukas
Roulleau, Xavier
NAGOYA MATHEMATICAL JOURNAL, 2025,
[34] A BERNSTEIN-TYPE INEQUALITY FOR SOME MIXING PROCESSES AND DYNAMICAL SYSTEMS WITH AN APPLICATION TO LEARNING
Hang, Hanyuan
Steinwart, Ingo
ANNALS OF STATISTICS, 2017, 45 (02) : 708 - 743
[35] Geometrical structures associated to implicit first order dynamical systems with some holonomic constraints
Obadeanu, Virgil
Ciobanu, Monica
BSG PROCEEDINGS 17 - PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF DIFFERENTIAL GEOMETRY AND DYNAMICAL SYSTEMS (DGDS-2009), 2010, : 151 - 162
[36] Geometrical structures associated to implicit first order dynamical systems with some holonomic constraints
Obadeanu, Virgil
Ciobanu, Monica
BSG PROCEEDINGS 17, 2010, 17 : 151 - 162
[37] COMPARISON OF LINEARIZATION AND GRAPH CLUSTERING METHODS FOR UNCERTAINTY QUANTIFICATION OF LARGE SCALE DYNAMICAL SYSTEMS
Mukherjee, Arpan
Rai, Rahul
Singla, Puneet
Singh, Tarunraj
Patra, Abani
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2017, 7 (01) : 23 - 56
[38] On Some Properties of Topological Entropy and Topological Pressure of Families of Dynamical Systems Continuously Depending on a Parameter
Vetokhin, A. N.
DIFFERENTIAL EQUATIONS, 2019, 55 (10) : 1275 - 1283
[39] Parameter estimation of chaotic dynamical systems using LS-based cost functions on the state space
Ali Mousazadeh
Yasser Shekofteh
Pramana, 2022, 96
[40] Parameter estimation of chaotic dynamical systems using LS-based cost functions on the state space
Mousazadeh, Ali
Shekofteh, Yasser
PRAMANA-JOURNAL OF PHYSICS, 2021, 96 (01):

← 1 2 3 4 5 →