title: Robustness to noise in synchronization of complex networks.
abstract: In this report, we investigate dynamical robustness of a complex network to noise injected through one of its nodes. We focus on synchronization of coupled nonlinear systems and, as a special instance, we address the classical consensus protocol for linear integrators. We establish an exact closed-form expression of the synchronization error for the consensus protocol and an approximate result for chaotic units. While structural robustness is known to be significantly affected by attacks targeted to network hubs, our results posit that dynamical robustness is controlled by both the topology of the network and the dynamics of the units. We provide examples where hubs perform better or worse than isolated nodes.
authors.affiliation: DIEEI, Università degli Studi di Catania, Catania, Italy.
authors.forename: Arturo
authors.initials: A
authors.lastname: Buscarino
authors.forename: Lucia Valentina
authors.initials: LV
authors.lastname: Gambuzza
authors.forename: Maurizio
authors.initials: M
authors.lastname: Porfiri
authors.forename: Luigi
authors.initials: L
authors.lastname: Fortuna
authors.forename: Mattia
authors.initials: M
authors.lastname: Frasca