Synchronization of intermittent behavior in ensembles of multistable dynamical systems

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Show simple item record Sevilla Escoboza, R. Buldú, J. M. Pisarchik, A. N. Boccaletti, S. Gutiérrez Díez, Ricardo 2021-02-25T09:12:48Z 2021-02-25T09:12:48Z 2015-03
dc.identifier.bibliographicCitation Sevilla-Escoboza, R., Buldú, J. M., Pisarchik, A. N., Boccaletti, S., Gutiérrez, R. (2015). Synchronization of intermittent behavior in ensembles of multistable dynamical systems. Physical Review E, 91(3).
dc.identifier.issn 2470-0045
dc.description.abstract We propose a methodology to analyze synchronization in an ensemble of diffusively coupled multistable systems. First, we study how two bidirectionally coupled multistable oscillators synchronize and demonstrate the high complexity of the basins of attraction of coexisting synchronous states. Then, we propose the use of the master stability function (MSF) for multistable systems to describe synchronizability, even during intermittent behavior, of a network of multistable oscillators, regardless of both the number of coupled oscillators and the interaction structure. In particular, we show that a network of multistable elements is synchronizable for a given range of topology spectra and coupling strengths, irrespective of specific attractor dynamics to which different oscillators are locked, and even in the presence of intermittency. Finally, we experimentally demonstrate the feasibility and robustness of the MSF approach with a network of multistable electronic circuits.
dc.description.sponsorship The authors acknowledge J. Aguirre, D. Papo, and P.L. del Barrio for fruitful conversations and the support of MINECO (FIS2012-38949-C03-01 and FIS2013-41057). R.S.E. acknowledges Universidad de Guadalajara, CULagos (Mexico) (OP/PIFI-2013-14MSU0010Z-17-04, PROINPEPRG/005/2014, UDG-CONACyT/I010/163/2014) and CONACyT (Becas Mixtas MZO2015/290842) for financial support.
dc.format.extent 9
dc.language.iso eng
dc.publisher American Physical Society
dc.rights ©2015 American Physical Society
dc.title Synchronization of intermittent behavior in ensembles of multistable dynamical systems
dc.type article
dc.subject.eciencia Matemáticas
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2012-38949-C03-01
dc.relation.projectID Gobierno de España. FIS2013-41057
dc.type.version publishedVersion
dc.identifier.publicationfirstpage 032902-1
dc.identifier.publicationissue 3
dc.identifier.publicationlastpage 032902-9
dc.identifier.publicationtitle Physical Review E
dc.identifier.publicationvolume 91
dc.identifier.uxxi AR/0000025283
dc.contributor.funder Ministerio de Economía y Competitividad (España)
dc.affiliation.dpto UC3M. Departamento de Matemáticas
dc.affiliation.grupoinv UC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)
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