Computer Simulation on the Gumowski-Mira Transformation

Kenji Otsubo¹, Masakazu Washida¹, Takao Itoh¹, Kazuo Katsuura² and Masaki Hayashi¹

¹Department of Theoretical Physics, School of Life Science, Tokyo University of Pharmacy and Life Science, Horinouchi, Hachioji, Tokyo 192-0392, Japan
²Department of Physics, Saitama Medical School, Moroyama, Iruma, Saitama 350-0496, Japan
E-mail: s958017@educ.ls.toyaku.ac.jp; s958072@educ.ls.toyaku.ac.jp; s977020@educ.ls.toyaku.ac.jp; katsuura@saitama-med.ac.jp; hayashi@ls.toyaku.ac.jp

(Received November 19, 1999; Accepted December 27, 1999)

Keywords: Gumowski-Mira Transformation, Nonlinear System, Computer Simulation

Abstract. We perform a computer simulation on the Gumowski-Mira transformation (hereafter abbreviated as GM tranformation) and present a variety of 2-dimensional patterns obtained from the GM transformation. Among these patterns, there are images which resemble very much "living marine creatures".