Chimeras in Multiplex Networks: Interplay of Inter- and Intra-Layer Delays

dc.contributor.authorSawicki, Jakub
dc.contributor.authorGhosh, Saptarshi
dc.contributor.authorJalan, Sarika
dc.contributor.authorZakharova, Anna
dc.date.accessioned2019-04-29T12:04:47Z
dc.date.available2019-04-29T12:04:47Z
dc.date.issued2019-04-24
dc.description.abstractTime delay in complex networks with multiple interacting layers gives rise to special dynamics. We study the scenarios of time delay induced patterns in a three-layer network of FitzHugh-Nagumo oscillators. The topology of each layer is given by a nonlocally coupled ring. For appropriate values of the time delay in the couplings between the nodes, we find chimera states, i.e., hybrid spatio-temporal patterns characterized by coexisting domains with incoherent and coherent dynamics. In particular, we focus on the interplay of time delay in the intra-layer and inter-layer coupling term. In the parameter plane of the two delay times we find regions where chimera states are observed alternating with coherent dynamics. Moreover, in the presence of time delay we detect full and relay inter-layer synchronization.en
dc.description.sponsorshipDFG, 414044773, Open Access Publizieren 2019 - 2020 / Technische Universität Berlinen
dc.description.sponsorshipDFG, SFB 910, Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.identifier.eissn2297-4687
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/9386
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-8444
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/en
dc.subject.ddc510 Mathematikde
dc.subject.otherchimera statesen
dc.subject.othermultiplex networksen
dc.subject.otherFitzHugh-Nagumo oscillatoren
dc.subject.othertime delayen
dc.subject.otherrelay synchronizationen
dc.titleChimeras in Multiplex Networks: Interplay of Inter- and Intra-Layer Delaysen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber19en
dcterms.bibliographicCitation.doi10.3389/fams.2019.00019en
dcterms.bibliographicCitation.journaltitleFrontiers in Applied Mathematics and Statisticsen
dcterms.bibliographicCitation.originalpublishernameFrontiers Mediaen
dcterms.bibliographicCitation.originalpublisherplaceLausanneen
dcterms.bibliographicCitation.volume5en
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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