Generalized splay states in phase oscillator networks

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dc.contributor.authorBerner, Rico
dc.contributor.authorYanchuk, Serhiy
dc.contributor.authorMaistrenko, Yuri
dc.contributor.authorSchöll, Eckehard
dc.date.accessioned2021-12-22T09:59:07Z
dc.date.available2021-12-22T09:59:07Z
dc.date.issued2021
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: Berner, R., Yanchuk, S., Maistrenko, Y., & Schöll, E. (2021). Generalized splay states in phase oscillator networks. In Chaos: An Interdisciplinary Journal of Nonlinear Science (Vol. 31, Issue 7, p. 073128). AIP Publishing. https://doi.org/10.1063/5.0056664 and may be found at https://doi.org/10.1063/5.0056664.en
dc.description.abstractNetworks of coupled phase oscillators play an important role in the analysis of emergent collective phenomena. In this article, we introduce generalized m-splay states constituting a special subclass of phase-locked states with vanishing mth order parameter. Such states typically manifest incoherent dynamics, and they often create high-dimensional families of solutions (splay manifolds). For a general class of phase oscillator networks, we provide explicit linear stability conditions for splay states and exemplify our results with the well-known Kuramoto-Sakaguchi model. Importantly, our stability conditions are expressed in terms of just a few observables such as the order parameter or the trace of the Jacobian. As a result, these conditions are simple and applicable to networks of arbitrary size. We generalize our findings to phase oscillators with inertia and adaptively coupled phase oscillator models. Published under an exclusive license by AIP Publishing.en
dc.description.sponsorshipDFG, 411803875, Dynamik gekoppelter Systeme mit Zeitverzögerungen und deren Anwendungenen
dc.description.sponsorshipDFG, 440145547, Komplexe dynamische Netzwerke: Effekte von Heterogenität, Adaptivität und Topologie der Kopplungenen
dc.identifier.eissn1089-7682
dc.identifier.issn1054-1500
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/15997
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14770
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc530 Physikde
dc.subject.othercoordinated reseten
dc.subject.othercoupled oscillatorsen
dc.subject.otherKuramoto modelen
dc.subject.othersynchronizationen
dc.subject.otherstimulationen
dc.subject.othertinnitusen
dc.subject.otherdynamicsen
dc.subject.otheronseten
dc.titleGeneralized splay states in phase oscillator networksen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber73128en
dcterms.bibliographicCitation.doi10.1063/5.0056664en
dcterms.bibliographicCitation.issue7en
dcterms.bibliographicCitation.journaltitleChaos : an interdisciplinary journal of nonlinear scienceen
dcterms.bibliographicCitation.originalpublishernameAIP Publishingen
dcterms.bibliographicCitation.originalpublisherplaceMelvilleen
dcterms.bibliographicCitation.volume31en
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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