Repulsive inter-layer coupling induces anti-phase synchronization

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dc.contributor.authorShepelev, Igor A.
dc.contributor.authorMuni, Sishu S.
dc.contributor.authorSchöll, Eckehard
dc.contributor.authorStrelkova, Galina I.
dc.date.accessioned2021-12-22T10:10:06Z
dc.date.available2021-12-22T10:10:06Z
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 Shepelev, I. A., Muni, S. S., Schöll, E., & Strelkova, G. I. (2021). Repulsive inter-layer coupling induces anti-phase synchronization. In Chaos: An Interdisciplinary Journal of Nonlinear Science (Vol. 31, Issue 6, p. 063116). AIP Publishing. https://doi.org/10.1063/5.0054770 and may be found at https://doi.org/10.1063/5.0054770.en
dc.description.abstractWe present numerical results for the synchronization phenomena in a bilayer network of repulsively coupled 2D lattices of van der Pol oscillators. We consider the cases when the network layers have either different or the same types of intra-layer coupling topology. When the layers are uncoupled, the lattice of van der Pol oscillators with a repulsive interaction typically demonstrates a labyrinth-like pattern, while the lattice with attractively coupled van der Pol oscillators shows a regular spiral wave structure. We reveal for the first time that repulsive inter-layer coupling leads to anti-phase synchronization of spatiotemporal structures for all considered combinations of intra-layer coupling. As a synchronization measure, we use the correlation coefficient between the symmetrical pairs of network nodes, which is always close to −1 in the case of anti-phase synchronization. We also study how the form of synchronous structures depends on the intra-layer coupling strengths when the repulsive inter-layer coupling is varied.en
dc.description.sponsorshipDFG, 163436311, Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.identifier.eissn1089-7682
dc.identifier.issn1054-1500
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/16000
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-14773
dc.language.isoenen
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.ddc530 Physikde
dc.subject.otherheterogeneous multiplex networken
dc.subject.otherwave structuresen
dc.subject.otherchimera statesen
dc.titleRepulsive inter-layer coupling induces anti-phase synchronizationen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber63116en
dcterms.bibliographicCitation.doi10.1063/5.0054770en
dcterms.bibliographicCitation.issue6en
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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