Birth and Stabilization of Phase Clusters by Multiplexing of Adaptive Networks

dc.contributor.authorBerner, Rico
dc.contributor.authorSawicki, Jakub
dc.contributor.authorSchöll, Eckehard
dc.date.accessioned2020-11-16T18:24:55Z
dc.date.available2020-11-16T18:24:55Z
dc.date.issued2020-02-24
dc.description.abstractWe propose a concept to generate and stabilize diverse partial synchronization patterns (phase clusters) in adaptive networks which are widespread in neuroscience and social sciences, as well as biology, engineering, and other disciplines. We show by theoretical analysis and computer simulations that multiplexing in a multilayer network with symmetry can induce various stable phase cluster states in a situation where they are not stable or do not even exist in the single layer. Further, we develop a method for the analysis of Laplacian matrices of multiplex networks which allows for insight into the spectral structure of these networks enabling a reduction to the stability problem of single layers. We employ the multiplex decomposition to provide analytic results for the stability of the multilayer patterns. As local dynamics we use the paradigmatic Kuramoto phase oscillator, which is a simple generic model and has been successfully applied in the modeling of synchronization phenomena in a wide range of natural and technological systems.en
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.identifier.eissn1079-7114
dc.identifier.issn0031-9007
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/11976
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-10858
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc530 Physikde
dc.subject.otheradaptive networken
dc.subject.othernonlinear dynamicsen
dc.subject.otheradaptationen
dc.subject.otherself-organizing systemsen
dc.subject.otherphase clusteren
dc.titleBirth and Stabilization of Phase Clusters by Multiplexing of Adaptive Networksen
dc.typeArticleen
dc.type.versionacceptedVersionen
dcterms.bibliographicCitation.articlenumber088301en
dcterms.bibliographicCitation.doi10.1103/PhysRevLett.124.088301en
dcterms.bibliographicCitation.issue8en
dcterms.bibliographicCitation.journaltitlePhysical Review Lettersen
dcterms.bibliographicCitation.originalpublishernameAmerican Physical Society (APS)en
dcterms.bibliographicCitation.originalpublisherplaceCollege Park, Md.en
dcterms.bibliographicCitation.volume124en
tub.accessrights.dnbfreeen
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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