Transient and cyclic behavior of cellular automata with null boundary conditions

DOI10.1007/BF01052755zbMath1102.68508MaRDI QIDQ2499921

A. E. Cerkanowicz, Ronald E. Rosensweig, John G. Stevens

Publication date: 23 August 2006

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

discrete dynamical systemsCellular automata

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Discrete version of topics in analysis (39A12) Dynamical aspects of cellular automata (37B15)

Related Items (7)

One-dimensional cellular automata with random rules: longest temporal period of a periodic solution ⋮ Periodic solutions of one-dimensional cellular automata with uniformly chosen random rules ⋮ Additive cellular automata and global injectivity ⋮ Characteristic and minimal polynomials of linear cellular automata ⋮ On behavior of two-dimensional cellular automata with an exceptional rule ⋮ On the construction of state diagrams for cellular automata with additive rules ⋮ Iterations of linear maps over finite fields

Uses Software

• Mathematica

Cites Work

• Algebraic properties of cellular automata
• Exact results for deterministic cellular automata with additive rules
• Statistical mechanics of cellular automata
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