Dynamics of Scale Free Random Threshold Network

Original · EN

We study the dynamics of Random Threshold Network (RTN) on scale free networks, with asymmetric links, some interaction rules where propagation of local perturbations depends on in-degree k of the nodes. We find that there is no phase transition with respect to average connectivty independently of network topology for the case temperature T=0, threshold h=0 and the probability distribution of indegree P(k) satisfies P(0)=D=0. We have investigated the emergence of phase transition involving three parameters, i.e. T,h and D. RTN can be continuously connected to Random Boolean Network (RBN) in T→ ∞, and we find moderate thermal noise extends the regime of ordered dynamics, compared to RTN in T=0 regime and RBN. Furthermore, we discuss the dynamic properties from another point of view, dynamical mean field reaction rate equation.