The intrinsic metric formula and a chaotic dynamical system on the code set of the Sierpinski tetrahedron

Nisa Aslan, Mustafa Saltan and Bünyamin Demir

Chaos, Solitons & Fractals, 2019, vol. 123, issue C, 422-428

Abstract: The intrinsic metric formula on the code set of the Sierpinski Gasket is explicitly given in Definition 1.1. In this paper, we obtain the intrinsic metric formula on the code set of the Sierpinski tetrahedron and we investigate some geometrical properties of this structure. Moreover, we define a dynamical system on the Sierpinski tetrahedron and then we give an algorithm to compute the periodic points of this dynamical system. Finally, we show that this dynamical system is both Devaney chaotic and Li-Yorke chaotic.

Keywords: Sierpinski tetrahedron; Code representation; Intrinsic metric; Chaotic dynamical systems; Periodic points (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0960077919301298
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:123:y:2019:i:c:p:422-428

DOI: 10.1016/j.chaos.2019.04.018

Access Statistics for this article

Chaos, Solitons & Fractals is currently edited by Stefano Boccaletti and Stelios Bekiros

More articles in Chaos, Solitons & Fractals from Elsevier
Bibliographic data for series maintained by Thayer, Thomas R. ().