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dc.contributor.authorOmel'chenko, Oleh
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.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.titleCoherence-incoherence patterns in a ring of non-locally coupled phase oscillators
wgl.typeReport / Forschungsbericht / Arbeitspapierger
dcterms.bibliographicCitation.journalTitlePreprint / Weierstraß-Institut für Angewandte Analysis und Stochastik-
Appears in Collections:Mathematik

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