title: Remote synchronization reveals network symmetries and functional modules.
abstract: We study a Kuramoto model in which the oscillators are associated with 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.
authors.affiliation: School of Mathematical Sciences, Queen Mary University of London, London E1 4NS, United Kingdom.
authors.forename: Vincenzo
authors.initials: V
authors.lastname: Nicosia
authors.forename: Miguel
authors.initials: M
authors.lastname: Valencia
authors.forename: Mario
authors.initials: M
authors.lastname: Chavez
authors.forename: Albert
authors.initials: A
authors.lastname: Díaz-Guilera
authors.forename: Vito
authors.initials: V
authors.lastname: Latora
mesh_terms: D008954:Models, Biological; D008962:Models, Theoretical