Dynamics of Scale Free Random Threshold Network
| dc.creator | Nakamura, Ikuo | |
| dc.date | 2003-02-20 | |
| dc.date | 2003-02-22 | |
| dc.date.accessioned | 2026-07-07T02:49:43Z | |
| dc.date.available | 2026-07-07T02:49:43Z | |
| dc.description | 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 $T\to \infty$, 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. | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0302399 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0302399 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/20912 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Dynamics of Scale Free Random Threshold Network | |
| dc.type | text |