Pereira Tiago
Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, Santo André, SP 09210-170, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Sep;82(3 Pt 2):036201. doi: 10.1103/PhysRevE.82.036201. Epub 2010 Sep 1.
Heterogeneity in the degree distribution is known to suppress global synchronization in complex networks of symmetrically coupled oscillators. Scale-free networks display a great deal of heterogeneity, containing a few nodes, termed hubs, that are highly connected, while most nodes receive only a few connections. Here, we show that a group of synchronized nodes may appear in scale-free networks: hubs undergo a transition to synchronization while the other nodes remain unsynchronized. This general phenomenon can occur even in the absence of global synchronization. Our results suggest that scale-free networks may have evolved to complement various levels of synchronization.
众所周知，度分布的异质性会抑制对称耦合振荡器复杂网络中的全局同步。无标度网络表现出大量的异质性，包含少数被称为中心节点的高度连接的节点，而大多数节点只接收少数连接。在这里，我们表明在无标度网络中可能会出现一组同步节点：中心节点会经历向同步的转变，而其他节点则保持不同步。即使在没有全局同步的情况下，这种普遍现象也可能发生。我们的结果表明，无标度网络可能已经进化以补充各种同步水平。
