BibTeX
@MISC{Bhattacharjya95power-lawdistributions,
author = {Amartya Bhattacharjya and Shoudan Liang},
title = {Power-law Distributions in the Kauffman Net},
year = {1995}
}
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Abstract
Kauffman net is a dynamical system of logical variables receiving two random inputs and each randomly assigned a boolean function. We show that the attractor and transient lengths exhibit scaleless behavior with power-law distributions over up to ten orders of magnitude. Our results provide evidence for the existence of the ”edge of chaos ” as a distinct phase between the ordered and chaotic regimes analogous to a critical point in statistical mechanics. The power-law distributions are robust to the changes in the composition of the transition rules and network dynamics.
