Cellular automata and ultra-discrete Painlevé equations

B. Grammaticos, Y. Ohta, A. Ramani, D. Takahashi, K. M. Tamizhmani

研究成果: Article査読

33 被引用数 (Scopus)

抄録

Starting from integrable cellular automata we present a novel form of Painlevé equations. These equations are discrete in both the independent variable and the dependent one. We show that they capture the essence of the behavior of the Painlevé equations, organize themselves into a coalescence cascade and possess special solutions. A necessary condition for the integrability of cellular automata is also presented. We conclude with a discussion of the notion of integrability of the cellular automata under examination.

本文言語English
ページ(範囲)53-58
ページ数6
ジャーナルPhysics Letters, Section A: General, Atomic and Solid State Physics
226
1-2
DOI
出版ステータスPublished - 1997 2 10
外部発表はい

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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