From cellular automaton to difference equation: A general transformation method which preserves time evolution patterns

A. Nobe*, J. Satsuma, T. Tokihiro

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

We propose a general method to construct a partial difference equation which preserves any time evolution patterns of a cellular automaton. The method is based on inverse ultradiscretization with filter functions.

Original languageEnglish
Pages (from-to)L371-L379
JournalJournal of Physics A: Mathematical and General
Volume34
Issue number25
DOIs
Publication statusPublished - 2001
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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