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Controlling chimera states via minimal coupling modification

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dc.contributor.author Ruzzene, Giulia
dc.contributor.author Omelchenko, Iryna
dc.contributor.author Schöll, Eckehard
dc.contributor.author Zakharova, Anna
dc.contributor.author Andrzejak, Ralph Gregor
dc.date.accessioned 2019-05-24T13:01:21Z
dc.date.available 2019-05-24T13:01:21Z
dc.date.issued 2019
dc.identifier.citation Ruzzene G, Omelchenko I, Schöll E, Zakharova A, Andrzejak RG. Controlling chimera states via minimal coupling modification. Chaos. 2019 May 7;29:051103. DOI: 10.1063/1.5097570
dc.identifier.issn 1054-1500
dc.identifier.uri http://hdl.handle.net/10230/37294
dc.description.abstract We propose a method to control chimera states in a ring-shaped network of nonlocally coupled phase oscillators. This method acts exclusivelyon the network’s connectivity. Using the idea of a pacemaker oscillator, we investigate which is the minimal action needed to control chimeras.We implement the pacemaker choosing one oscillator and making its links unidirectional. Our results show that a pacemaker induces chimerasfor parameters and initial conditions for which they do not form spontaneously. Furthermore, the pacemaker attracts the incoherent part of thechimera state, thus controlling its position. Beyond that, we find that these control effects can be achieved with modifications of the network’sconnectivity that are less invasive than a pacemaker, namely, the minimal action of just modifying the strength of one connection allows oneto control chimeras.
dc.description.sponsorship This project was supported by the Volkswagen Foundation, the Spanish Ministry of Economy and Competitiveness (Grant No. FIS2014-54177-R), the CERCA Program of the Generalitat de Catalunya (G.R. and R.G.A.), and the European Union’s Horizon 2020 program under theMarie Sklodowska-Curie Grant Agreement No. 642563 (R.G.A). We acknowledge support from the Deutsche Forschungsgemeinschaft (DFG) in the framework of the SFB 910, Projektnummer 163436311 (I.O., E.S., and A.Z.).
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Institute of Physics (AIP)
dc.relation.ispartof Chaos. 2019 May 7;29:051103
dc.rights © American Institute of Physics. The following article appeared in Ruzzene G, Omelchenko I, Schöll E, Zakharova A, Andrzejak RG. Chaos. 2019 May 7;29:051103 and may be found at https://aip.scitation.org/doi/10.1063/1.5097570
dc.title Controlling chimera states via minimal coupling modification
dc.type info:eu-repo/semantics/article
dc.identifier.doi http://dx.doi.org/10.1063/1.5097570
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/acceptedVersion


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