Please use this identifier to cite or link to this item: https://oar.tib.eu/jspui/handle/123456789/1614
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dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.eng
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.ger
dc.contributor.authorOmel'chenko, Oleh
dc.date.accessioned2016-03-24T17:37:28Z
dc.date.available2019-06-28T08:01:54Z
dc.date.issued2013
dc.identifier.urihttps://oar.tib.eu/jspui/handle/123456789/1614
dc.identifier.urihttp://dx.doi.org/10.34657/2135-
dc.description.abstractWe consider a paradigmatic spatially extended model of non-locally coupled phase oscillators which are uniformly distributed within a one-dimensional interval and interact depending on the distance between their sites modulo periodic boundary conditions. This model can display peculiar spatio-temporal patterns consisting of alternating patches with synchronized (coherent) or irregular (incoherent) oscillator dynamics, hence the name coherence-incoherence pattern, or chimera state. For such patterns we formulate a general bifurcation analysis scheme based on a hierarchy of continuum limit equations. This gives us possibility to classify known coherence-incoherence patterns and to suggest directions for searching new ones
dc.formatapplication/pdf
dc.languageeng
dc.publisherBerlin : Weierstraß-Institut für Angewandte Analysis und Stochastik
dc.relation.ispartofseriesPreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1777, ISSN 0946-8633-
dc.subjectCoupled phase oscillators
dc.subjectnon-local coupling
dc.subjectcoherence-incoherence patterns
dc.subjectchimera states
dc.subjectbifurcation analysis
dc.subjectpattern formation
dc.subject.ddc510
dc.titleCoherence-incoherence patterns in a ring of non-locally coupled phase oscillators
dc.typereport-
dc.typeText-
dc.description.versionpublishedVersioneng
local.accessRightsopenAccess-
wgl.contributorWIASger
wgl.subjectMathematikger
wgl.typeReport / Forschungsbericht / Arbeitspapierger
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik-
local.identifier.doihttp://dx.doi.org/10.34657/2135-
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