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Jointly periodic points in cellular automata: computer explorations and conjectures

2006/07/07 by Mike Boyle, Boyle, Mike, Bryant Lee +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #37B10 #37B15 #Cellular Automata and Applications #DNA and Biological Computing #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #math.DS #msc:37B10 #msc:37B15

paper · pdf · doi:10.48550/arxiv.math/0607178

41 pages. paper is based on a computer program freely available at http://www.math.umd.edu/~mmb/cellauto/

arxiv created 2006/07/07 · openalex publication_date 2006/07/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop a rather elaborate computer program to investigate the jointly periodic points of one-dimensional cellular automata. The experimental results and mathematical context lead to questions, conjectures and a contextual theorem.

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