take N nodes that can be on or off.  hook 'em together into a network with various logical gates coming into each one with an average of k inputs from the others.  look at the ensemble of all such possible systems. 
let each cycle synchronously,  the nodes turning each other on and off.  there ought to be 2^N possible states to such a system.  Kaufmann found that when K is around 2 most of the systems end up falling into one of a MERE sqrt(N) possible attractive cycles!  the systems do not explore anywhere NEAR the 2^N possible states.
Tuesday, August 12, 2008
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