Emergence of structural patterns out of synchronization in networks with competitive interactions.

Emergence of structural patterns out of synchronization in networks with competitive interactions.
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DOI:
10.1038/srep00099
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发表时间:
2011
期刊:
影响因子:
4.6
通讯作者:
Boccaletti, Stefano
Boccaletti, Stefano
中科院分区:
综合性期刊3区
文献类型:
--
作者:
Assenza, Salvatore;Gutierrez, Ricardo;Gomez-Gardenes, Jesus;Latora, Vito;Boccaletti, Stefano

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同步是发生在相互作用的单元系统中的一种集体现象,在自然界、社会和技术中普遍存在。最近的研究揭示了相互作用拓扑在同步态出现中所起的重要作用。然而,这些研究大多忽略了真实的世界系统随时间改变其相互作用模式。在这里,我们分析了网络中的同步功能,其中结构和动力学特征共同进化。节点动态对交互模式的反馈由两种机制的竞争决定:同质性(加强与图中其他相关单元的交互)和稳态(保持每个单元接收的输入强度的值)。这两个自适应原则之间的竞争导致了在真实的世界网络中观察到的关键结构特性的出现,例如模块化和无标度结构,以及在没有全局秩序的系统中局部同步的显著增强。
Synchronization is a collective phenomenon occurring in systems of interacting units, and is ubiquitous in nature, society and technology. Recent studies have enlightened the important role played by the interaction topology on the emergence of synchronized states. However, most of these studies neglect that real world systems change their interaction patterns in time. Here, we analyze synchronization features in networks in which structural and dynamical features co-evolve. The feedback of the node dynamics on the interaction pattern is ruled by the competition of two mechanisms: homophily (reinforcing those interactions with other correlated units in the graph) and homeostasis (preserving the value of the input strength received by each unit). The competition between these two adaptive principles leads to the emergence of key structural properties observed in real world networks, such as modular and scale–free structures, together with a striking enhancement of local synchronization in systems with no global order.
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