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The Use of Chemostats in Microbial Systems Biology
Published on: October 14, 2013
Sensitive dependence on initial conditions for cellular automata
Jesus Urias1, Raul Rechtman, Agustin Enciso
1Instituto de Investigacion en Comunicacion Optica, Universidad Autonoma de San Luis Potosi, 78000, San Luis Potosi, SLP, Mexico.
Abstract:
The property of sensitive dependence on intial conditions is the basis of a rigorous mathematical construction of local maximum Lyapunov exponents for cellular automata. The maximum Lyapunov exponent is given by the fastest average velocity of either the left or right propagating damage fronts. Deviations from the long term behavior of the finite time Lyapunov exponents due to generation of information are quantified and could be used for the characterization of the space time complexity of cellular automata. (c) 1997 American Institute of Physics.
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