Nearest neighbor cellular automata over \(Z_ 2\) with periodic boundary conditions

DOI10.1016/0167-2789(90)90171-KzbMath0729.68067OpenAlexW2021497553MaRDI QIDQ807059

Burton H. Voorhees

Publication date: 1990

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(90)90171-k

zbMATH Keywords

automata rulesnearest-neighbor cellular automatanonadditive basis operatorsshift cycles

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80)

Related Items (4)

Predecessors of cellular automata states. II: Pre-images of finite sequences ⋮ Superposable Trellis Automata ⋮ Predecessors of cellular automata states. I: Additive automata ⋮ Determination of fixed points and shift cycles for nearest neighbor cellular automata

Cites Work

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• A hierarchical classification of cellular automata
• Algebraic properties of cellular automata
• Periodic orbits for additive cellular automata
• Random sequence generation by cellular automata
• On the prediction of local patterns in cellular automata
• Computing fractal dimensions for additive cellular automata
• A mathematical classification of the one-dimensional deterministic cellular automata
• Predecessor states for certain cellular automata evolutions
• Cellular automata, Pascal's triangle, and generation of order
• Intriguing properties of global structure in some classes of finite cellular automata
• Cylindrical cellular automata
• Statistical mechanics of cellular automata

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