title: Analysis of remote synchronization in complex networks.
abstract: A novel regime of synchronization, called remote synchronization, where the peripheral nodes form a phase synchronized cluster not including the hub, was recently observed in star motifs [Bergner et al., Phys. Rev. E 85, 026208 (2012)]. We show the existence of a more general dynamical state of remote synchronization in arbitrary networks of coupled oscillators. This state is characterized by the synchronization of pairs of nodes that are not directly connected via a physical link or any sequence of synchronized nodes. This phenomenon is almost negligible in networks of phase oscillators as its underlying mechanism is the modulation of the amplitude of those intermediary nodes between the remotely synchronized units. Our findings thus show the ubiquity and robustness of these states and bridge the gap from their recent observation in simple toy graphs to complex networks.
authors.affiliation: Dipartimento di Ingegneria Elettrica Elettronica e Informatica, Università degli Studi di Catania, viale A. Doria 6, 95125 Catania, Italy.
authors.forename: Lucia Valentina
authors.initials: LV
authors.lastname: Gambuzza
authors.affiliation: Departamento de Física de la Materia Condensada, University of Zaragoza, Zaragoza 50009, Spain.
authors.forename: Alessio
authors.initials: A
authors.lastname: Cardillo
authors.affiliation: Departamento de Física de la Materia Condensada, University of Zaragoza, Zaragoza 50009, Spain.
authors.forename: Alessandro
authors.initials: A
authors.lastname: Fiasconaro
authors.affiliation: Dipartimento di Ingegneria Elettrica Elettronica e Informatica, Università degli Studi di Catania, viale A. Doria 6, 95125 Catania, Italy.
authors.forename: Luigi
authors.initials: L
authors.lastname: Fortuna
authors.affiliation: Departamento de Física de la Materia Condensada, University of Zaragoza, Zaragoza 50009, Spain.
authors.forename: Jesus
authors.initials: J
authors.lastname: Gómez-Gardeñes
authors.affiliation: Dipartimento di Ingegneria Elettrica Elettronica e Informatica, Università degli Studi di Catania, viale A. Doria 6, 95125 Catania, Italy.
authors.forename: Mattia
authors.initials: M
authors.lastname: Frasca
mesh_terms: D001683:Biological Clocks; D008962:Models, Theoretical