2012/11/30 by Vincenzo Nicosia, Miguel Valencia, Mario Chavez +2 · 1 citation
Physics and Astronomy · Biochemistry, Genetics and Molecular Biology · #nlin.AO #cond-mat.stat-mech #physics.soc-ph #q-bio.NC
paper · pdf · doi:10.1103/physrevlett.110.174102
published as Phys. Rev. Lett. 110, 174102 (2013) · 7 pages, 5 figures
arxiv created 2013/04/27 · arxiv updated 2013/04/30
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.