Excitable Greenberg-Hastings cellular automaton model on scale-free networks
| dc.creator | Wu, An-Cai | |
| dc.creator | Xu, Xin-Jian | |
| dc.creator | Wang, Ying-Hai | |
| dc.date | 2007-01-11 | |
| dc.date.accessioned | 2026-07-07T07:51:36Z | |
| dc.date.available | 2026-07-07T07:51:36Z | |
| dc.description | We study the excitable Greenberg-Hastings cellular automaton model on scale-free networks. We obtained analytical expressions for no external stimulus and the uncoupled case. It is found that the curves, the average activity $F$ versus the external stimulus rate $r$, can be fitted by a Hill function, but not exactly, and there exists a relation $F\propto r^α$ for the low-stimulus response, where Stevens-Hill exponent $α$ ranges from $α= 1$ in the subcritical regime to $α= 0.5$ at criticality. At the critical point, the range reaches the maximal. We also calculate the average activity $F^{k}(r)$ and the dynamic range $Δ^{k}(p)$ for nodes with given connectivity $k$. It is interesting that nodes with larger connectivity have larger optimal range, which could be applied in biological experiments to reveal the network topology. | |
| dc.description | submitted to Phys. Rev. E | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0701248 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0701248 | |
| dc.identifier | PHYSICAL REVIEW E 75, 032901 (2007). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125571 | |
| dc.subject | Statistical Mechanics | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Excitable Greenberg-Hastings cellular automaton model on scale-free networks | |
| dc.type | text |