A discrete chaotic dynamical system on the Sierpinski gasket
Yıl: 2019 Cilt: 43 Sayı: 1 Sayfa Aralığı: 361 - 372 Metin Dili: İngilizce DOI: 10.3906/mat-1803-77 İndeks Tarihi: 13-05-2020
A discrete chaotic dynamical system on the Sierpinski gasket
Öz: The Sierpinski gasket (also known as the Sierpinski triangle) is one of the fundamental models of self-similarsets. There have been many studies on different features of this set in the last decades. In this paper, initially we constructa dynamical system on the Sierpinski gasket by using expanding and folding maps. We then obtain a surprising shiftmap on the code set of the Sierpinski gasket, which represents the dynamical system, and we show that this dynamicalsystem is chaotic on the code set of the Sierpinski gasket with respect to the intrinsic metric. Finally, we provide analgorithm to compute periodic points for this dynamical system.
Anahtar Kelime: Konular:
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | SALTAN M, Aslan N, Demir B (2019). A discrete chaotic dynamical system on the Sierpinski gasket. , 361 - 372. 10.3906/mat-1803-77 |
| Chicago | SALTAN MUSTAFA,Aslan Nisa,Demir Bünyamin A discrete chaotic dynamical system on the Sierpinski gasket. (2019): 361 - 372. 10.3906/mat-1803-77 |
| MLA | SALTAN MUSTAFA,Aslan Nisa,Demir Bünyamin A discrete chaotic dynamical system on the Sierpinski gasket. , 2019, ss.361 - 372. 10.3906/mat-1803-77 |
| AMA | SALTAN M,Aslan N,Demir B A discrete chaotic dynamical system on the Sierpinski gasket. . 2019; 361 - 372. 10.3906/mat-1803-77 |
| Vancouver | SALTAN M,Aslan N,Demir B A discrete chaotic dynamical system on the Sierpinski gasket. . 2019; 361 - 372. 10.3906/mat-1803-77 |
| IEEE | SALTAN M,Aslan N,Demir B "A discrete chaotic dynamical system on the Sierpinski gasket." , ss.361 - 372, 2019. 10.3906/mat-1803-77 |
| ISNAD | SALTAN, MUSTAFA vd. "A discrete chaotic dynamical system on the Sierpinski gasket". (2019), 361-372. https://doi.org/10.3906/mat-1803-77 |
| APA | SALTAN M, Aslan N, Demir B (2019). A discrete chaotic dynamical system on the Sierpinski gasket. Turkish Journal of Mathematics, 43(1), 361 - 372. 10.3906/mat-1803-77 |
| Chicago | SALTAN MUSTAFA,Aslan Nisa,Demir Bünyamin A discrete chaotic dynamical system on the Sierpinski gasket. Turkish Journal of Mathematics 43, no.1 (2019): 361 - 372. 10.3906/mat-1803-77 |
| MLA | SALTAN MUSTAFA,Aslan Nisa,Demir Bünyamin A discrete chaotic dynamical system on the Sierpinski gasket. Turkish Journal of Mathematics, vol.43, no.1, 2019, ss.361 - 372. 10.3906/mat-1803-77 |
| AMA | SALTAN M,Aslan N,Demir B A discrete chaotic dynamical system on the Sierpinski gasket. Turkish Journal of Mathematics. 2019; 43(1): 361 - 372. 10.3906/mat-1803-77 |
| Vancouver | SALTAN M,Aslan N,Demir B A discrete chaotic dynamical system on the Sierpinski gasket. Turkish Journal of Mathematics. 2019; 43(1): 361 - 372. 10.3906/mat-1803-77 |
| IEEE | SALTAN M,Aslan N,Demir B "A discrete chaotic dynamical system on the Sierpinski gasket." Turkish Journal of Mathematics, 43, ss.361 - 372, 2019. 10.3906/mat-1803-77 |
| ISNAD | SALTAN, MUSTAFA vd. "A discrete chaotic dynamical system on the Sierpinski gasket". Turkish Journal of Mathematics 43/1 (2019), 361-372. https://doi.org/10.3906/mat-1803-77 |
