Construction new chaotic dynamical systems on 2D Cantor set

Kübranur Yilmaz; Yunus Özdemir; Fatma Diğdem Koparal

Vol. 28 No. 2 (2023)

Regular Articles

Construction new chaotic dynamical systems on 2D Cantor set

Published 2023-10-19

Kübranur Yilmaz
Yunus Özdemir
Fatma Diğdem Koparal

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Abstract

In this paper, we construct new discrete chaotic dynamical systems on 2D Cantor set by using the shift map, 0-preadded map and 2-preadded map. We also obtain a collection of chaotic dynamical systems using the elements of the symmetry group of the square.

Keywords

2D Cantor set, code representation, chaotic dynamical system, symmetry group, shift map

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Supplementary File(s)

Figure4 Figure3 Figure 2 Figure 1 mc_4804_TEX TeX