Avalos-Gaytán Vanesa, Almendral Juan A, Papo David, Schaeffer Satu Elisa, Boccaletti Stefano
Postgraduate Division in Systems Engineering, Department of Mechanical and Electrical Engineering, Universidad Autónoma de Nuevo León, San Nicolás de los Garza, Nuevo León, Mexico.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jul;86(1 Pt 2):015101. doi: 10.1103/PhysRevE.86.015101. Epub 2012 Jul 26.
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.
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普遍存在。到目前为止，大多数研究都集中在揭示现实世界网络中的这两个特征，但需要一个能够同时生成它们的模型。我们考虑一个相互作用的相位振荡器网络，以及一种耦合的自适应机制，该机制促进动态相关的那些元素之间的连接强度。我们表明，在这些情况下，振荡器的动态组织以一种模块化和 assortativity 特征自发且同时出现的方式塑造了图的拓扑结构。反过来，我们证明这种涌现结构与网络集体动态状态渐近排列成簇同步相关联。
