title: Sparse repulsive coupling enhances synchronization in complex networks.
abstract: Through the last years, different strategies to enhance synchronization in complex networks have been proposed. In this work, we show that synchronization of nonidentical dynamical units that are attractively coupled in a small-world network is strongly improved by just making phase-repulsive a tiny fraction of the couplings. By a purely topological analysis that does not depend on the dynamical model, we link the emerging dynamical behavior with the structural properties of the sparsely coupled repulsive network.
authors.affiliation: Departamento de Ciencias de la Naturaleza y Física Aplicada, Universidad Rey Juan Carlos, c/Tulipán s/n, 28933 Móstoles, Madrid, Spain.
authors.forename: I
authors.initials: I
authors.lastname: Leyva
authors.forename: I
authors.initials: I
authors.lastname: Sendiña-Nadal
authors.forename: J A
authors.initials: JA
authors.lastname: Almendral
authors.forename: M A F
authors.initials: MA
authors.lastname: Sanjuán