Guardiola X, Diaz-Guilera A, Llas M, Perez CJ
Departament de Fisica Fonamental, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Oct;62(4 Pt B):5565-70. doi: 10.1103/physreve.62.5565.
We study synchronization dynamics of a population of pulse-coupled oscillators. In particular, we focus our attention on the interplay between topological disorder and synchronization features of networks. First, we analyze synchronization time T in random networks, and find a scaling law which relates T to network connectivity. Then, we compare synchronization time for several other topological configurations, characterized by a different degree of randomness. The analysis shows that regular lattices perform better than a disordered network. This fact can be understood by considering the variability in the number of links between two adjacent neighbors. This phenomenon is equivalent to having a nonrandom topology with a distribution of interactions and it can be removed by an adequate local normalization of the couplings.
我们研究脉冲耦合振子群体的同步动力学。特别地，我们将注意力集中在网络的拓扑无序与同步特征之间的相互作用上。首先，我们分析随机网络中的同步时间T，并找到一种将T与网络连通性相关联的标度律。然后，我们比较其他几种具有不同随机程度特征的拓扑构型的同步时间。分析表明，规则晶格比无序网络表现得更好。通过考虑两个相邻邻居之间链接数量的变异性，可以理解这一事实。这种现象等同于具有相互作用分布的非随机拓扑，并且可以通过对耦合进行适当的局部归一化来消除。
