TY  - JOUR
TI  - A discrete chaotic dynamical system on the Sierpinski gasket
AB  - 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.
AU  - SALTAN, MUSTAFA
AU  - Aslan, Nisa
AU  - Demir, Bünyamin
DO  - 10.3906/mat-1803-77
PY  - 2019
JO  - Turkish Journal of Mathematics
VL  - 43
IS  - 1
SN  - 1300-0098
SP  - 361
EP  - 372
DB  - TRDizin
UR  - http://search/yayin/detay/336621
ER  -