Stable Difference Equations Associated with Elementary Cellular Automata

Atsushi Nobe, Junkichi Satsuma, Tetsuji Tokihiro

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

We construct a difference equation which preserves any time evolution pattern of the rule 90 elementary cellular automaton. We also demonstrate that such difference equations can be obtained for any elementary cellular automata.

Original languageEnglish
Pages (from-to)293-305
Number of pages13
JournalJapan Journal of Industrial and Applied Mathematics
Volume18
Issue number2
DOIs
Publication statusPublished - 2001 Jun
Externally publishedYes

Keywords

  • Difference equation
  • Elementary cellular automaton
  • Filter function
  • Piecewise linear equation
  • Ultradiscretization

ASJC Scopus subject areas

  • Engineering(all)
  • Applied Mathematics

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