Multifractal characteristics of linear one-dimensional cellular automata

International Journal of Modern Physics C

Volumn 14, Issue 4, 2003, Pages 491-499

  Sanchez, Juan R ^a  

^a UNIVERSIDAD NACIONAL DE MAR DEL PLATA   (Argentina)

Author keywords

Cellular automata; Discrete wavelet transform; Multifractal spectrum

Indexed keywords

EID: 0038166944     PISSN: 01291831     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129183103004681     Document Type: Article

References (13)

1. S. Wolfram, Rev. Mod. Phys. 55, 601 (1983); S. Wolfram, Theory and Applications of Cellular Automata (World Scientific, Singapore, 1986).
2. S. Wolfram, Rev. Mod. Phys. 55, 601 (1983); S. Wolfram, Theory and Applications of Cellular Automata (World Scientific, Singapore, 1986).
3. M. Gardner, Sci. Amer. 226, 104 (1972).
4. S. J. Wilson, Physica D 10, 69 (1984).
5. S. J. Wilson, Physica D 24, 179 (1987); 24, 190 (1987).
6. S. J. Wilson, Physica D 24, 179 (1987); 24, 190 (1987).
7. S. Takahashi, Physica D 45, 36 (1990).
8. J. A. de Sales, M. L. Martins, and J. G. Moreira, Physica A 245, 461 (1997).
9. C. K. Peng et al., Nature 356, 168 (1992).
10. A. Arneodo, G. Grasseau, and M. Holshneider, Phys. Rev. Lett. 61, 2281 (1988).
11. Y. Meyer, Wavelets, Algorithms and Applications (SIAM, Philadelphia, 1993).
12. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C (Cambridge Univ. Press, Cambridge, 1993).
13. J. Feder, Fractals (Plenum Press, New York, 1988).