Controlling chimera states via minimal coupling modification

dc.contributor.authorRuzzene, Giulia
dc.contributor.authorOmelchenko, Iryna
dc.contributor.authorSchöll, Eckehard
dc.contributor.authorZakharova, Anna
dc.contributor.authorAndrzejak, Ralph G.
dc.date.accessioned2020-03-06T15:46:44Z
dc.date.available2020-03-06T15:46:44Z
dc.date.issued2019-05-07
dc.descriptionThis article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Chaos 29, 051103 (2019) and may be found at https://doi.org/10.1063/1.5097570.en
dc.description.abstractWe propose a method to control chimera states in a ring-shaped network of nonlocally coupled phase oscillators. This method acts exclusively on 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 chimeras for parameters and initial conditions for which they do not form spontaneously. Furthermore, the pacemaker attracts the incoherent part of the chimera state, thus controlling its position. Beyond that, we find that these control effects can be achieved with modifications of the network’s connectivity that are less invasive than a pacemaker, namely, the minimal action of just modifying the strength of one connection allows one to control chimeras.en
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.description.sponsorshipEC/H2020/642563/EU/Complex Oscillatory Systems: Modeling and Analysis/COSMOSen
dc.identifier.eissn1089-7682
dc.identifier.issn1054-1500
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/10886
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-9779
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc530 Physikde
dc.subject.otherchimera statesen
dc.subject.otherpacemakeren
dc.subject.othercoupled phase oscillatoren
dc.titleControlling chimera states via minimal coupling modificationen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber051103en
dcterms.bibliographicCitation.doi10.1063/1.5097570en
dcterms.bibliographicCitation.issue5en
dcterms.bibliographicCitation.journaltitleChaos: An Interdisciplinary Journal of Nonlinear Scienceen
dcterms.bibliographicCitation.originalpublishernameAmerican Institute of Physics (AIP)en
dcterms.bibliographicCitation.originalpublisherplaceMelville, NYen
dcterms.bibliographicCitation.volume29en
tub.accessrights.dnbdomain*
tub.affiliationFak. 2 Mathematik und Naturwissenschaften::Inst. Theoretische Physik::FG Nichtlineare Dynamik und Kontrollede
tub.affiliation.facultyFak. 2 Mathematik und Naturwissenschaftende
tub.affiliation.groupFG Nichtlineare Dynamik und Kontrollede
tub.affiliation.instituteInst. Theoretische Physikde
tub.publisher.universityorinstitutionTechnische Universität Berlinen

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