Remote synchronization in populations of Kuramoto oscillators

Populations of identical Kuramoto oscillators are known to synchronize in a connected network. In a previous work [1], we introduced a frustration parameter in a population of identical oscillators that produces remote synchronization in units that are not connected but are related through some type of symmetry in the network topology. Here we present new results on the application of this principle to local perturbations of the frustration parameter that induce additional patterns of synchrony in the system. We show that there exist positive correlations between some measures of centrality with a new index related to the diversity of patterns generated through a local variation of the frustration parameter [2].