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Experimental implementation of maximally synchronizable networks

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorSevilla Escoboza, R.
dc.contributor.authorBuldú, J. M.
dc.contributor.authorBoccaletti, S.
dc.contributor.authorPapo, D.
dc.contributor.authorHwang, D.-U.
dc.contributor.authorHuerta Cuellar, G.
dc.contributor.authorGutiérrez Díez, Ricardo
dc.contributor.funderMinisterio de Economía y Competitividad (España)es
dc.date.accessioned2021-02-19T11:25:26Z
dc.date.available2021-02-19T11:25:26Z
dc.date.issued2016-04-15
dc.description.abstractMaximally synchronizable networks (MSNs) are acyclic directed networks that maximize synchronizability. In this paper, we investigate the feasibility of transforming networks of coupled oscillators into their corresponding MSNs. By tuning the weights of any given network so as to reach the lowest possible eigenratio lambdaN/lambda2, the synchronized state is guaranteed to be maintained across the longest possible range of coupling strengths. We check the robustness of the resulting MSNs with an experimental implementation of a network of nonlinear electronic oscillators and study the propagation of the synchronization errors through the network. Importantly, a method to study the effects of topological uncertainties on the synchronizability is proposed and explored both theoretically and experimentally.en
dc.description.sponsorshipThe authors acknowledge J.L. Echenausía-Monroy, V.P. Vera-Ávila, J. Moreno de León, C. Hapo and P.L. del Barrio for assistance in the laboratory, and the support of MINECO (FIS2012-38949-C03-01 and FIS2013-41057-P). One anonymous referee is acknowledged for having provided valuable advice that has influenced our understanding of the origin of the propagation of the synchronization error, and helped us improve the manuscript in several ways. The authors also acknowledge the computational resources, facilities and assistance provided by the Centro computazionale di RicErca sui Sistemi COmplessi (CRESCO) of the Italian National Agency for New Technologies, Energy and Sustainable Economic Development (ENEA). R.S.E. acknowledges Universidad de Guadalajara, CULagos (Mexico) for financial support (PRO-SNI-2015/228069, PROINPEP/005/2014, UDG-CONACyT/I010/163/2014) and CONACyT (Becas Mixtas MZO2015/290842). D.-U. Hwang acknowledges National Institute for Mathematical Sciences (NIMS) funded by the Ministry of Science, ICT & Future Planning (A21501-3).en
dc.format.extent9
dc.identifier.bibliographicCitationSevilla-Escoboza, R., Buldú, J. M., Boccaletti, S., Papo, D., Hwang, D.-U., Huerta-Cuellar, G., Gutiérrez, R. (2016). Experimental implementation of maximally synchronizable networks. Physica A: Statistical Mechanics and Its Applications, 448, 113–121.en
dc.identifier.doihttps://doi.org/10.1016/j.physa.2015.12.086
dc.identifier.issn0378-4371
dc.identifier.publicationfirstpage113
dc.identifier.publicationlastpage121
dc.identifier.publicationtitlePhysica A: Statistical Mechanics and Its Applicationsen
dc.identifier.publicationvolume448
dc.identifier.urihttps://hdl.handle.net/10016/31969
dc.identifier.uxxiAR/0000025284
dc.language.isoeng
dc.publisherElsevier
dc.relation.projectIDFIS2012-38949-C03-01
dc.relation.projectIDFIS2013-41057-P
dc.rights© 2015 Elsevier B.V. All rights reserved.
dc.rightsAtribución-NoComercial-SinDerivadas 3.0 España
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subject.ecienciaMatemáticases
dc.subject.otherSynchronizationen
dc.subject.otherComplex networksen
dc.subject.otherMaster stability functionen
dc.subject.otherElectronic circuitsen
dc.titleExperimental implementation of maximally synchronizable networksen
dc.typeresearch article*
dc.type.hasVersionAM*
dspace.entity.typePublication
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