RESCALED EVOLUTION SETS OF LINEAR CELLULAR AUTOMATA ON A CYLINDER

DOI10.1142/S0218127403006959zbMath1070.37006OpenAlexW2050420250MaRDI QIDQ4653816

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Publication date: 8 March 2005

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127403006959

zbMATH Keywords

self-similarityfinite fieldsfractals(linear) cellular automatarescaling of evolution sets

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Fractals (28A80)

Related Items (4)

Global analysis of self-similarity features of cellular automata: selected examples ⋮ Cellular automata, matrix substitutions and fractals ⋮ On the fractal structure of the rescaled evolution set of Carlitz sequences of polynomials ⋮ Substitutions for linear shift register sequences and the factorization algorithms of Berlekamp and Niederreiter

Cites Work

• Cellular automata can generate fractals
• Algebraic properties of cellular automata
• Dynamical characteristics of linear cellular automata
• Calculating growth rates and moments for additive cellular automata
• Self-similarity of linear cellular automata
• Cellular automata, matrix substitutions and fractals
• On the fractal structure of the rescaled evolution set of Carlitz sequences of polynomials
• Limit sets of automatic sequences.
• Global analysis of self-similarity features of cellular automata: selected examples
• Linear cellular automata, finite automata and Pascal's triangle
• SELF-SIMILAR STRUCTURE OF RESCALED EVOLUTION SETS OF CELLULAR AUTOMATA II
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