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arXiv · 1005.3803

Hub Synchronization in Scale-Free Networks

Tiago Pereira
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Abstract

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.

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Tiago Pereira. 2010-10-07. Hub Synchronization in Scale-Free Networks. https://doi.org/10.1103/physreve.82.036201

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