Original scientific paper
Construction of new chaotic dynamical systems on a 2D Cantor set
Kübranur Yilmaz
orcid.org/0000-0001-9394-4884
; Eskisehir Technical University, Department of Statistics, Eskisehir, Turkey
Yunus Özdemir
; Eskisehir Technical University, Department of Mathematics, Eskisehir, Turkey
Fatma Diğdem Koparal
orcid.org/0000-0002-9446-9402
; Eskisehir Technical University, Department of Mathematics, Eskis
Abstract
In this paper, we construct new discrete chaotic dynamical systems on a 2D Cantor set by using the shift map, a 0-preadded map and a 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
Hrčak ID:
308958
URI
Publication date:
22.10.2023.
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