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

https://hrcak.srce.hr/308958

Publication date:

22.10.2023.

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