Evolution of microscopic and mesoscopic synchronized patterns in complex networks

Evolution of microscopic and mesoscopic synchronized patterns in complex networks
复制标题

DOI:
10.1063/1.3532801
复制
发表时间:
2011-03-01
期刊:
影响因子:
2.9
通讯作者:
Arenas, Alex
Arenas, Alex
中科院分区:
数学2区
文献类型:
--
作者:
Gomez-Gardenes, Jesus;Moreno, Yamir;Arenas, Alex

文献摘要

被引文献

相似文献

先前关于复杂网络中仓本振子同步的研究表明,在同构和异构拓扑结构中,同步的局部模式是如何不同地出现的。两种拓扑结构中同步路径的主要区别在于,当振荡器之间的耦合增加时,同步节点的最大连接分量的增长。然而,最近的一项针对这一现象的研究却提出了相反的观点,指出这两种类型网络的同步集群的统计分布是相似的。在这里,我们提供了大量的数值证据,证实了原来的说法,即微观和介观动力学的同步模式确实遵循不同的路线。(C)2011年美国物理学会。[doi:10.1063/1.3532801]
Previous studies about synchronization of Kuramoto oscillators in complex networks have shown how local patterns of synchronization emerge differently in homogeneous and heterogeneous topologies. The main difference between the paths to synchronization in both topologies is rooted in the growth of the largest connected component of synchronized nodes when increasing the coupling between the oscillators. Nevertheless, a recent study focusing on this same phenomenon has claimed the contrary, stating that the statistical distribution of synchronized clusters for both types of networks is similar. Here we provide extensive numerical evidences that confirm the original claims, namely, that the microscopic and mesoscopic dynamics of the synchronized patterns indeed follow different routes. (C) 2011 American Institute of Physics. [doi: 10.1063/1.3532801]