Damage Spreading in Spatial and Small-world Random Boolean Networks
| dc.creator | Lu, Qiming | |
| dc.creator | Teuscher, Christof | |
| dc.date | 2009-04-26 | |
| dc.date.accessioned | 2026-07-07T13:09:18Z | |
| dc.date.available | 2026-07-07T13:09:18Z | |
| dc.description | The study of the response of complex dynamical social, biological, or technological networks to external perturbations has numerous applications. Random Boolean Networks (RBNs) are commonly used a simple generic model for certain dynamics of complex systems. Traditionally, RBNs are interconnected randomly and without considering any spatial extension and arrangement of the links and nodes. However, most real-world networks are spatially extended and arranged with regular, power-law, small-world, or other non-random connections. Here we explore the RBN network topology between extreme local connections, random small-world, and pure random networks, and study the damage spreading with small perturbations. We find that spatially local connections change the scaling of the relevant component at very low connectivities ($\bar{K} \ll 1$) and that the critical connectivity of stability $K_s$ changes compared to random networks. At higher $\bar{K}$, this scaling remains unchanged. We also show that the relevant component of spatially local networks scales with a power-law as the system size N increases, but with a different exponent for local and small-world networks. The scaling behaviors are obtained by finite-size scaling. We further investigate the wiring cost of the networks. From an engineering perspective, our new findings provide the key design trade-offs between damage spreading (robustness), the network's wiring cost, and the network's communication characteristics. | |
| dc.description | 8 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/0904.4052 | |
| dc.identifier | http://arxiv.org/abs/0904.4052 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/228686 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Cellular Automata and Lattice Gases | |
| dc.subject | Molecular Networks | |
| dc.title | Damage Spreading in Spatial and Small-world Random Boolean Networks | |
| dc.type | text |