Effect of small-world topology on wave propagation on networks of excitable elements

dc.contributor.authorIsele, T.
dc.contributor.authorSchöll, Eckehard
dc.date.accessioned2022-02-16T13:44:19Z
dc.date.available2022-02-16T13:44:19Z
dc.date.issued2015-02-18
dc.date.updated2022-02-10T19:39:52Z
dc.description.abstractWe study excitation waves on a Newman–Watts small-world network model of coupled excitable elements. Depending on the global coupling strength, we find differing resilience to the added long-range links and different mechanisms of propagation failure. For high coupling strengths, we show agreement between the network and a reaction-diffusion model with additional mean-field term. Employing this approximation, we are able to estimate the critical density of long-range links for propagation failure.en
dc.description.sponsorshipDFG, 163436311, SFB 910: Kontrolle selbstorganisierender nichtlinearer Systeme: Theoretische Methoden und Anwendungskonzepteen
dc.identifier.eissn1367-2630
dc.identifier.urihttps://depositonce.tu-berlin.de/handle/11303/16409
dc.identifier.urihttp://dx.doi.org/10.14279/depositonce-15185
dc.language.isoenen
dc.rights.urihttps://creativecommons.org/licenses/by/3.0/en
dc.subject.ddc530 Physikde
dc.subject.othernetworksen
dc.subject.othernonlinear dynamicsen
dc.subject.otherpattern formationen
dc.subject.othernonlinear wavesen
dc.titleEffect of small-world topology on wave propagation on networks of excitable elementsen
dc.typeArticleen
dc.type.versionpublishedVersionen
dcterms.bibliographicCitation.articlenumber023058en
dcterms.bibliographicCitation.doi10.1088/1367-2630/17/2/023058en
dcterms.bibliographicCitation.issue2en
dcterms.bibliographicCitation.journaltitleNew Journal of Physicsen
dcterms.bibliographicCitation.originalpublishernameIOPen
dcterms.bibliographicCitation.originalpublisherplaceBristolen
dcterms.bibliographicCitation.volume17en
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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