Assortative and modular networks are shaped by adaptive synchronization processes
Assortative and modular networks are shaped by adaptive synchronization processes
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DOI：
10.1103/physreve.86.015101
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发表时间：
2012-07-26
影响因子：
2.4
通讯作者：
Boccaletti, Stefano
中科院分区：
文献类型：
--
作者：
Avalos-Gaytan, Vanesa;Almendral, Juan A.;Boccaletti, Stefano
模块化组织和度-度相关性在生物、技术和社会交互系统的连接结构中无处不在。到目前为止，大多数研究都集中在揭示真实的世界网络中的这两个特征，但需要一个成功地同时生成它们的模型。我们考虑一个网络的相互作用的相位振荡器，和适应机制的耦合，促进这些元素之间的连接强度是动态相关的。我们表明，在这种情况下，动态组织的振荡器形状的拓扑结构的图形中的模块性和可伸缩性功能自发地出现，同时。反过来，我们证明了这样一个紧急的结构是与一个渐进安排的集体动力学状态的网络集群同步。
Modular organization and degree-degree correlations are ubiquitous in the connectivity structure of biological, technological, and social interacting systems. So far most studies have concentrated on unveiling both features in real world networks, but a model that succeeds in generating them simultaneously is needed. We consider a network of interacting phase oscillators, and an adaptation mechanism for the coupling that promotes the connection strengths between those elements that are dynamically correlated. We show that, under these circumstances, the dynamical organization of the oscillators shapes the topology of the graph in such a way that modularity and assortativity features emerge spontaneously and simultaneously. In turn, we prove that such an emergent structure is associated with an asymptotic arrangement of the collective dynamical state of the network into cluster synchronization.