On the Construction of Chaotic Dynamical Systems on the Box Fractal

Autor:	N. Aslan, M. Saltan
Jazyk:	English<br />Ukrainian
Rok vydání:	2021
Předmět:	box fractal code representation intrinsic metric chaotic dynamical systems periodic points escape time algorithm Mathematics QA1-939
Zdroj:	Researches in Mathematics, Vol 29, Iss 2, Pp 3-14 (2021)
Druh dokumentu:	article
ISSN:	2664-4991 2664-5009
DOI:	10.15421/242105
Popis:	In this paper, our main aim is to obtain two different discrete chaotic dynamical systems on the Box fractal ($B$). For this goal, we first give two composition functions (which generate Box fractal and filled-square respectively via escape time algorithm) of expanding, folding and translation mappings. In order to examine the properties of these dynamical systems more easily, we use the intrinsic metric which is defined by the code representation of the points on $B$ and express these dynamical systems on the code sets of this fractal. We then obtain that they are chaotic in the sense of Devaney and give an algorithm to compute periodic points.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/ba031c99c6204feb9fb6e08b4665bb80 Zobrazit plný text záznamu View record in DOAJ