Cellular Automata for Spatiotemporal Pattern Formation from Reaction-Diffusion Partial Differential Equations

研究成果査読

1 被引用数 (Scopus)

抄録

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.

本文言語English
論文番号014003
ジャーナルJournal of the Physical Society of Japan
85
1
DOI
出版ステータスPublished - 2016 1 15

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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