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http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/905| Multifractal properties of elementary cellular automata in a discrete wavelet approach of MF-DFA | |
| JAIME ENRIQUE PEREZ TERRAZAS HARET CODRATIAN ROSU | |
| Acceso Abierto | |
| Atribución-NoComercial-SinDerivadas | |
| https://doi.org/10.1209/0295-5075/87/28003 | |
| Statistical physics and nonlinear systems | |
| "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." | |
| IOPSCIENCE | |
| 2009 | |
| Artículo | |
| Inglés | |
| Público en general | |
| J. S. Murguia1, J. E. Pérez-Terrazas and H. C. Rosu. 2009 EPL 87 28003. https://doi.org/10.1209/0295-5075/87/28003 | |
| CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA | |
| Versión aceptada | |
| acceptedVersion - Versión aceptada | |
| Aparece en las colecciones: | Publicaciones Científicas Nanociencias y Materiales |
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| EurophysLett87(2009)28003.pdf | 341.38 kB | Adobe PDF | Visualizar/Abrir |