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Cellular Automata, PDEs, and Pattern Formation

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arxiv 1003.1983 v1 pith:NFIV4CR2 submitted 2010-03-09 nlin.CG nlin.PS

Xin-She Yang , Y. Young This is my paper · ORCID
classification nlin.CGnlin.PS
keywords automatacellulardifferentialequationsformationpatternbiologyengineering
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State-of-the-art review of cellular automata, cellular automata for partial differential equations, differential equations for cellular automata and pattern formation in biology and engineering.

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Cited by 1 Pith paper

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  1. AutomataGPT: Forecasting and Ruleset Inference for Two-Dimensional Cellular Automata

    cs.LG 2025-06 conditional novelty 6.0 of 10

    A transformer pretrained on 100 cellular automaton rules forecasts unseen rules at 98.5% one-step accuracy and infers new rules with up to 96% functional accuracy.

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