Studies of the Dynamics of Critical Random Boolean Networks Using Relevant Element Loops

Abstract

Our investigations focus on the various features of relevant element loops that have one element with two inputs. Such networks occur as relevant components of critical K=2 random Boolean networks. We have found many interesting results. Of them, one rather important outcome is that the mean number of attractors of the relevant element loops increases exponentially with the system size, yet the mean length of attractors increases at a power-law rate with the system size, but not faster than any power law.