Search for multifractality in damage spreading for Kauffman cellular automata
- 11 November 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (16) , L1103-L1106
- https://doi.org/10.1088/0305-4470/20/16/012
Abstract
The authors check how an initial disturbance, called the damage, spreads through a square lattice of Kauffman cellular automata at their critical point. They determine the moments of the probability that a site has been damaged n times, and check for multifractality in the fractal dimensions, or critical exponents, of these moments of the damage probability.Keywords
This publication has 10 references indexed in Scilit:
- Metabolic stability and epigenesis in randomly constructed genetic netsPublished by Elsevier ,2004
- Fractal dimensions in three-dimensional Kauffman cellular automataJournal of Physics A: General Physics, 1987
- Phase Transitions in Two-Dimensional Kauffman Cellular AutomataEurophysics Letters, 1986
- Growth Probability Distribution in Kinetic Aggregation ProcessesPhysical Review Letters, 1986
- Surfaces, interfaces, and screening of fractal structuresPhysical Review A, 1985
- Nonlinear resistor fractal networks, topological distances, singly connected bonds and fluctuationsJournal of Physics A: General Physics, 1985
- Flicker () Noise in Percolation Networks: A New Hierarchy of ExponentsPhysical Review Letters, 1985
- Anomalous voltage distribution of random resistor networks and a new model for the backbone at the percolation thresholdPhysical Review B, 1985
- Emergent properties in random complex automataPhysica D: Nonlinear Phenomena, 1984
- Intermittent turbulence in self-similar cascades: divergence of high moments and dimension of the carrierJournal of Fluid Mechanics, 1974