SCIPRESS FORMA
Forma, Vol. 15 (No. 3), pp. 267-272, 2000
Original Paper

Sierpinski Gaskets in Excitable Media

Yumino Hayase

Graduate School of Humanities and Sciences, Ochanomizu University, Tokyo 112-8610, Japan
E-mail: yumino@newtopia.phys.ocha.ac.jp

(Received April 19, 2000; Accepted May 19, 2000)

Keywords: Sierpinski Gasket, Excitable Media, Reaction-Diffusion System, Spatio-Temporal Pattern

Abstract. In our previous papers, we have shown by computer simulations that a Sierpinski gasket pattern appears in a Bonhoffer-van der Pol type reaction diffusion system. In this paper, we show another class of regular self-similar structure which is found in four different excitable reaction diffusion systems. This result strongly implies that the existence of the self-similar spatio-temporal evolution is universal in excitable reaction-diffusion media.


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