Construction new chaotic dynamical systems on 2D Cantor set

Kübranur Yilmaz, Yunus Özdemir, Fatma Diğdem Koparal

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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ISSN: 1331-0623 (Print), 1848-8013 (Online)