Antichaos in a class of random boolean cellular automata
نویسنده
چکیده
A variant of Kauffman's model of cellular metabolism is presented. It is a randomly generated network of boolean gates, identical to Kauffman's except for a small bias in favor of boolean gates that depend on at most one input. The bias is asymptotic to 0 as the number of gates increases. Upper bounds on the time until the network reaches a state cycle and the size of the state cycle, as functions of the number of gates n, are derived. For any c > 0, if the bias approaches 0 slowly enough, the state cycles will be smaller than n c.
منابع مشابه
Antichaos in a Class of Random Boolean Cellular Automata
A variant of Kauffman’s model of cellular metabolism is presented. It is a randomly generated network of boolean gates, identical to Kauffman’s except for a small bias in favor of boolean gates that depend on at most one input. The bias is asymptotic to 0 as the number of gates increases. Upper bounds on the time until the network reaches a state cycle and the size of the state cycle, as functi...
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