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

A. Nobe; J. Satsuma; T. Tokihiro

doi:10.1088/0305-4470/34/25/101

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 journal › Article › peer-review

9 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 language	English
Pages (from-to)	L371-L379
Journal	Journal of Physics A: Mathematical and General
Volume	34
Issue number	25
DOIs	https://doi.org/10.1088/0305-4470/34/25/101
Publication status	Published - 2001
Externally published	Yes

ASJC Scopus subject areas

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

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10.1088/0305-4470/34/25/101

Cite this

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

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.",

author = "A. Nobe and J. Satsuma and T. Tokihiro",

year = "2001",

doi = "10.1088/0305-4470/34/25/101",

language = "English",

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pages = "L371--L379",

journal = "Journal of Physics A: Mathematical and General",

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T2 - A general transformation method which preserves time evolution patterns

AU - Nobe, A.

AU - Satsuma, J.

AU - Tokihiro, T.

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

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DO - 10.1088/0305-4470/34/25/101

M3 - Article

AN - SCOPUS:22244439252

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VL - 34

SP - L371-L379

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 25

ER -

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

Abstract

ASJC Scopus subject areas

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