Abstract
For random binary mixtures of cellular automata in the square lattice, calculations are made of the fractal dimensions associated with the damage spreading and the propagation time of damage at the transition to chaos. Two rules are mixed and universalities of these quantities are sought with respect to change of the rules.
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References
S. A. Kauffman,J. Theor. Biol. 22:437 (1969); S. A. Kauffman,Physica D 10:145 (1984); G. Y. Vichniac, inDisordered Systems and Biological Organization, E. Bienenstock, F. Fogelman-Souué, and G. Weisbuch (Springer-Verlag, Heidelberg, 1986), p. 3.
D. Stauffer,Phil. Mag. B 56:901 (1987).
L. R. da Silva, H. J. Herrmann, and L. S. Lucena, unpublished.
L. de Arcangelis and D. Stauffer,J. Phys. 48:1881 (1987).
P. M. Lam,J. Stat. Phys., in press.
H. E. Stanley, D. Stauffer, J. Kerstez, and H. J. Herrmann,Phys. Rev. Lett. 59:2326 (1987).
L. R. da Silva and H. J. Herrmann,J. Stat. Phys., in press.
H. Hartman and G. Y. Vichniac, inDisordered Systems and Biological Organization, E. Bienenstock, F. Fogelman-Soulié, and G. Weisbuch, eds. (Springer-Verlag, Heidelberg, 1986), p. 53.
D. Stauffer,J. Stat. Phys. 46:789 (1987).
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da Silva, L.R. Fractal dimension at the phase transition of inhomogeneous cellular automata. J Stat Phys 53, 985–990 (1988). https://doi.org/10.1007/BF01014234
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DOI: https://doi.org/10.1007/BF01014234