Título

Multifractal properties of elementary cellular automata in a discrete wavelet approach of MF-DFA

Autor

JAIME ENRIQUE PEREZ TERRAZAS

HARET CODRATIAN ROSU

Nivel de Acceso

Acceso Abierto

Licencia

http://creativecommons.org/licenses/by-nc-nd/4.0

Identificador alterno

doi: https://doi.org/10.1209/0295-5075/87/28003

Materias

Statistical physics and nonlinear systems - (AUTOR) CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA - (CTI)

Resumen o descripción

"In 2005, Nagler and Claussen (Phys. Rev. E 71, 067103 (2005)) investigated the time series of the elementary cellular automata (ECA) for possible (multi)fractal behavior. They eliminated the polynomial background atb through the direct fit-ting of the polynomial coefficients a and b. We here reconsider their work eliminating the polynomial trend by means of the multifractal-based detrended fluctuation analysis (MF-DFA) in which the wavelet multiresolution property is employed to filter out the trend in a more speedy way than the direct polynomial fitting and also with respect to the wavelet transform modulus maxima (WTMM) procedure. In the algorithm, the discrete fast wavelet transform is used to calculate the trend as a local feature that enters the so-called details signal. We illustrate our result for three representative ECA rules: 90, 105, and 150. We confirm their multifractal behavior and provide our results for the scaling parameters."

Editor

IOPSCIENCE

Fecha de publicación

2009

Tipo de publicación

Artículo

Versión de la publicación

Versión aceptada

Recurso de información

http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/880

http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/905

Formato

application/pdf

Idioma

Inglés

Audiencia

Público en general

Sugerencia de citación

J. S. Murguia1, J. E. Pérez-Terrazas and H. C. Rosu. 2009 EPL 87 28003. https://doi.org/10.1209/0295-5075/87/28003

Repositorio Orígen

Repositorio IPICYT

Descargas

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