Multifractals Defined by Nonlinear Cellular Automata

DOI10.1142/S0218127498000164zbMath0933.37008OpenAlexW2009244709MaRDI QIDQ4936195

Burton H. Voorhees

Publication date: 24 January 2000

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

Full work available at URL: https://doi.org/10.1142/s0218127498000164

zbMATH Keywords

fractal dimensionsmultifractalnonadditive cellular automata

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Dimension theory of smooth dynamical systems (37C45)

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Cites Work

• Cellular automata can generate fractals
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• FRACTALS BY NUMBERS
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• COARSE-GRAINING INVARIANT PATTERNS OF ONE-DIMENSIONAL TWO-STATE LINEAR CELLULAR AUTOMATA
• ON A CLASS OF FRACTAL MATRICES II: DISTRIBUTION AND SCALE-DEPENDENT FRACTAL DIMENSIONS OF THE INTEGER SETS IN EXCESS-MATRICES AND THEIR DISGUISES
• Attractor vicinity decay for a cellular automaton
• Endomorphisms and automorphisms of the shift dynamical system

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