Explosive synchronization as a process of explosive percolation in dynamical phase space.
Explosive synchronization as a process of explosive percolation in dynamical phase space.
复制标题
爆炸同步是动态相空间中爆炸渗透的过程
DOI：
10.1038/srep05200
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发表时间：
2014-06-06
影响因子：
4.6
通讯作者：
Liu Z
中科院分区：
文献类型：
--
作者：
Zhang X;Zou Y;Boccaletti S;Liu Z
爆炸同步和爆炸渗流是目前发生在复杂网络中的两种独立现象，前者发生在动力学相空间，后者发生在结构空间。结果表明，EP的机制可以用Achlioptas过程来解释，其中巨组分的形成受抑制规则控制。我们在这里介绍了一个等效的抑制规则ES。在ES的临界点之前，抑制规则诱导了多个小尺寸的同步振子簇的出现，而在临界耦合强度处诱导了一个巨大的同步振子簇的突然形成。我们还展示了如何爆炸字符ES退化成一个二阶相变时，抑制规则被打破。这些结果表明，我们的抑制规则可以被认为是Achlioptas过程的动力学对应，表明ES和EP可以统一到同一个框架。
Explosive synchronization and explosive percolation are currently two independent phenomena occurring in complex networks, where the former takes place in dynamical phase space while the latter in configuration space. It has been revealed that the mechanism of EP can be explained by the Achlioptas process, where the formation of a giant component is controlled by a suppressive rule. We here introduce an equivalent suppressive rule for ES. Before the critical point of ES, the suppressive rule induces the presence of multiple, small sized, synchronized clusters, while inducing the abrupt formation of a giant cluster of synchronized oscillators at the critical coupling strength. We also show how the explosive character of ES degrades into a second-order phase transition when the suppressive rule is broken. These results suggest that our suppressive rule can be considered as a dynamical counterpart of the Achlioptas process, indicating that ES and EP can be unified into a same framework.