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
收藏
页码：229 / 239
页数：11
相关论文
共 41 条
  • [1] On Topological Conjugacy of Some Chaotic Dynamical Systems on the Sierpinski Gasket
    Aslan, Nisa
    Saltan, Mustafa
    Demir, Bunyamin
    FILOMAT, 2021, 35 (07) : 2317 - 2331
  • [2] The investigation of chaos conditions of some dynamical systems on the Sierpinski propeller
    Aslan, Nisa
    Seker, Saliha
    Saltan, Mustafa
    CHAOS SOLITONS & FRACTALS, 2022, 159
  • [3] The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron
    Aslan, Nisa
    Saltan, Mustafa
    Demir, Bunyamin
    CHAOS SOLITONS & FRACTALS, 2019, 123 : 422 - 428
  • [4] Explicit dynamical systems on the Sierpinski carpet
    Homsomboon, Worapan
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2024, 35 (03): : 407 - 433
  • [5] On some dense sets in the space of dynamical systems
    Pawlak, Ryszard J.
    Poprawa, Justyna
    ADVANCED NONLINEAR STUDIES, 2023, 23 (01)
  • [6] The Interrelation of Motions of Dynamical Systems in a Metric Space
    A. P. Afanas’ev
    S. M. Dzyuba
    Lobachevskii Journal of Mathematics, 2022, 43 : 3414 - 3419
  • [7] The Interrelation of Motions of Dynamical Systems in a Metric Space
    Afanas'ev, A. P.
    Dzyuba, S. M.
    LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (12) : 3414 - 3419
  • [8] On Some Special Classes of Sequential Dynamical Systems
    Chris Barrett
    Harry B. Hunt III
    Madhav V. Marathe
    S. S. Ravi
    Daniel J. Rosenkrantz
    Richard E. Stearns
    Annals of Combinatorics, 2003, 7 (4) : 381 - 408
  • [9] Invariant Curves of Some Discrete Dynamical Systems
    Varin, V. P.
    COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2022, 62 (02) : 201 - 217
  • [10] Invariant Curves of Some Discrete Dynamical Systems
    V. P. Varin
    Computational Mathematics and Mathematical Physics, 2022, 62 : 201 - 217
12345