title: Enhancing the stability of the synchronization of multivariable coupled oscillators.
abstract: Synchronization processes in populations of identical networked oscillators are the focus of intense studies in physical, biological, technological, and social systems. Here we analyze the stability of the synchronization of a network of oscillators coupled through different variables. Under the assumption of an equal topology of connections for all variables, the master stability function formalism allows assessing and quantifying the stability properties of the synchronization manifold when the coupling is transferred from one variable to another. We report on the existence of an optimal coupling transference that maximizes the stability of the synchronous state in a network of Rössler-like oscillators. Finally, we design an experimental implementation (using nonlinear electronic circuits) which grounds the robustness of the theoretical predictions against parameter mismatches, as well as against intrinsic noise of the system.
authors.affiliation: Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de Leon, Paseos de la Montaña, Lagos de Moreno, Jalisco 47460, Mexico.
authors.forename: R
authors.initials: R
authors.lastname: Sevilla-Escoboza
authors.affiliation: Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel.
authors.forename: R
authors.initials: R
authors.lastname: Gutiérrez
authors.affiliation: Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de Leon, Paseos de la Montaña, Lagos de Moreno, Jalisco 47460, Mexico.
authors.forename: G
authors.initials: G
authors.lastname: Huerta-Cuellar
authors.affiliation: CNR-Istituto dei Sistemi Complessi, Via Madonna del Piano, 10, 50019 Sesto Fiorentino, Italy.|Italian Embassy in Israel, 25 Hamered Street, 68125 Tel Aviv, Israel.
authors.forename: S
authors.initials: S
authors.lastname: Boccaletti
authors.affiliation: Departamento de Física de la Materia Condensada, University of Zaragoza, Zaragoza 50009, Spain.|Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza 50018, Spain.
authors.forename: J
authors.initials: J
authors.lastname: Gómez-Gardeñes
authors.affiliation: Departament d'Enginyeria Informàtica i Matemàtiques, Universitat Rovira i Virgili, 43007 Tarragona, Spain.
authors.forename: A
authors.initials: A
authors.lastname: Arenas
authors.affiliation: Laboratory of Biological Networks, Center for Biomedical Technology, UPM, Pozuelo de Alarcón, 28223 Madrid, Spain.|Complex Systems Group, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain.
authors.forename: J M
authors.initials: JM
authors.lastname: Buldú