Show simple item record Andrzejak, Ralph Gregor Ruzzene, Giulia Malvestio, Irene 2017-05-25T13:20:47Z 2017
dc.identifier.citation Andrzejak RG, Ruzzene G, Malvestio I. Generalized synchronization between chimera states. Chaos. 2017;27(5):053114. DOI: 10.1063/1.4983841
dc.identifier.issn 1054-1500
dc.description.abstract Networks of coupled oscillators in chimera states are characterized by an intriguing interplay of synchronous and asynchronous motion. While chimera states were initially discovered in mathematical model systems, there is growing experimental and conceptual evidence that they manifest themselves also in natural and man-made networks. In real-world systems, however, synchronization and desynchronization are not only important within individual networks but also across different interacting networks. It is therefore essential to investigate if chimera states can be synchronized across networks. To address this open problem, we use the classical setting of ring networks of non-locally coupled identical phase oscillators. We apply diffusive drive-response couplings between pairs of such networks that individually show chimera states when there is no coupling between them. The drive and response networks are either identical or they differ by a variable mismatch in their phase lag parameters. In both cases, already for weak couplings, the coherent domain of the response network aligns its position to the one of the driver networks. For identical networks, a sufficiently strong coupling leads to identical synchronization between the drive and response. For non-identical networks, we use the auxiliary system approach to demonstrate that generalized synchronization is established instead. In this case, the response network continues to show a chimera dynamics which however remains distinct from the one of the driver. Hence, segregated synchronized and desynchronized domains in individual networks congregate in generalized synchronization across networks.
dc.description.sponsorship We acknowledge funding from the Volkswagen foundation, the Spanish Ministry of Economy and Competitiveness, Grant No. FIS2014-54177-R, the CERCA Programme of the Generalitat de Catalunya (R.G.A. and G.R.), and from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie Grant Agreement No. 642563 (R.G.A. and I.M.).
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Institute of Physics (AIP)
dc.relation.ispartof Chaos. 2017;27(5):053114
dc.rights © American Institute of Physics. The following article appeared in Chaos, 27, 2017 and may be found at
dc.title Generalized synchronization between chimera states
dc.type info:eu-repo/semantics/article
dc.subject.keyword Chimera states
dc.subject.keyword Synchronization
dc.subject.keyword Auxiliary system approach
dc.subject.keyword Chaos
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/642563
dc.relation.projectID info:eu-repo/grantAgreement/ES/1PE/FIS2014-54177-R
dc.rights.accessRights info:eu-repo/semantics/openAccess
dc.type.version info:eu-repo/semantics/publishedVersion

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