TY - JOUR
T1 - Cellular Automata for Spatiotemporal Pattern Formation from Reaction-Diffusion Partial Differential Equations
AU - Ohmori, Shousuke
AU - Yamazaki, Yoshihiro
PY - 2016/1/15
Y1 - 2016/1/15
N2 - Ultradiscrete equations are derived from a set of reaction-diffusion partial differential equations, and cellular automaton rules are obtained on the basis of the ultradiscrete equations. Some rules reproduce the dynamical properties of the original reaction-diffusion equations, namely, bistability and pulse annihilation. Furthermore, other rules bring about soliton-like preservation and periodic pulse generation with a pacemaker, which are not obtained from the original reaction-diffusion equations.
AB - Ultradiscrete equations are derived from a set of reaction-diffusion partial differential equations, and cellular automaton rules are obtained on the basis of the ultradiscrete equations. Some rules reproduce the dynamical properties of the original reaction-diffusion equations, namely, bistability and pulse annihilation. Furthermore, other rules bring about soliton-like preservation and periodic pulse generation with a pacemaker, which are not obtained from the original reaction-diffusion equations.
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U2 - 10.7566/JPSJ.85.014003
DO - 10.7566/JPSJ.85.014003
M3 - Article
AN - SCOPUS:84956873006
SN - 0031-9015
VL - 85
JO - Journal of the Physical Society of Japan
JF - Journal of the Physical Society of Japan
IS - 1
M1 - 014003
ER -