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Multifractal Characteristics Of Linear One-Dimensional Cellular Automata

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  • JUAN R. SANCHEZ

    (Departamento de Física, Facultad de Ingeniería, Universidad Nacional de Mar del Plata, Av. J. B. Justo 4302, 7600 Mar del Plata, Argentina)

Abstract

Cellular automata (CA) can be considered as discrete dynamical systems exhibiting a rich intrinsic behavior both in space and time. Starting from disordered initial configurations and according to different local evolution rules, CA can evolve into steady states showing regular or complex space–time structures. These structures have been shown to have fractal and multifractal properties. Here, the multifractal properties of linear one-dimensional cellular automata with complex spatio-temporal behaviors are calculated using discrete wavelets transforms.

Suggested Citation

  • Juan R. Sanchez, 2003. "Multifractal Characteristics Of Linear One-Dimensional Cellular Automata," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 14(04), pages 491-499.
    • Handle: RePEc:wsi:ijmpcx:v:14:y:2003:i:04:n:s0129183103004681
    DOI: 10.1142/S0129183103004681
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