TL;DR
This paper investigates how synchronization occurs in scale-free networks, revealing that hubs can synchronize independently of the rest of the network, indicating layered synchronization phenomena.
Contribution
It demonstrates that hubs in scale-free networks can synchronize without global synchronization, highlighting a new layered synchronization behavior.
Findings
Hubs can synchronize independently of the entire network
Scale-free networks exhibit partial, hub-centered synchronization
Global synchronization is not necessary for hub synchronization
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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