Monday, November 26, 2012

1211.5390 (Vincenzo Nicosia et al.)

Remote synchronization reveals network symmetries and functional modules    [PDF]

Vincenzo Nicosia, Miguel Valencia, Mario Chavez, Albert Díaz-Guilera, Vito Latora
We study a Kuramoto model in which the oscillators are associated to the nodes of a complex network and the interactions include a phase frustration, thus preventing full synchronization. The system organizes into a regime of remote synchronization where pairs of nodes with the same network symmetry are fully synchronized, despite their distance on the graph. We provide analytical arguments to explain this result and we show how the frustration parameter affects the distribution of phases. An application to brain networks suggests that anatomical symmetry plays a role in neural synchronization by determining correlated functional modules across distant locations.
View original: http://arxiv.org/abs/1211.5390

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