title: Inter-layer synchronization in multiplex networks of identical layers.
abstract: Inter-layer synchronization is a distinctive process of multiplex networks whereby each node in a given layer evolves synchronously with all its replicas in other layers, irrespective of whether or not it is synchronized with the other units of the same layer. We analytically derive the necessary conditions for the existence and stability of such a state, and verify numerically the analytical predictions in several cases where such a state emerges. We further inspect its robustness against a progressive de-multiplexing of the network, and provide experimental evidence by means of multiplexes of nonlinear electronic circuits affected by intrinsic noise and parameter mismatch.
authors.affiliation: Centro Universitario de los Lagos, Universidad de Guadalajara, Jalisco 47460, Mexico.
authors.forename: R
authors.initials: R
authors.lastname: Sevilla-Escoboza
authors.affiliation: Complex Systems Group & GISC, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain.
authors.forename: I
authors.initials: I
authors.lastname: Sendiña-Nadal
authors.affiliation: Complex Systems Group & GISC, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain.
authors.forename: I
authors.initials: I
authors.lastname: Leyva
authors.affiliation: School of Physics and Astronomy, University of Nottingham, Nottingham NG7 2RD, United Kingdom.
authors.forename: R
authors.initials: R
authors.lastname: Gutiérrez
authors.affiliation: Complex Systems Group & GISC, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain.
authors.forename: J M
authors.initials: JM
authors.lastname: Buldú
authors.affiliation: CNR-Institute of Complex Systems, Via Madonna del Piano, 10, 50019 Sesto Fiorentino, Florence, Italy.
authors.forename: S
authors.initials: S
authors.lastname: Boccaletti