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dc.contributor.authorIvanov, Anatoli F.
dc.contributor.authorTrofimchuk, Sergei I.
dc.date.accessioned2014-05-13T12:00:00Z
dc.date.accessioned2016-10-05T14:13:58Z
dc.date.available2014-05-13T12:00:00Z
dc.date.available2016-10-05T14:13:58Z
dc.date.issued2014-05-13
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1079
dc.descriptionResearch in Pairs 2013en_US
dc.description.abstractSeveral aspects of global dynamics and the existence of periodic solutions are studied for the scalar differential delay equation $x'(t) = a(t)f(x([t-K]))$, where $f(x)$ is a continuous negative feedback function, $x \cdot f(x) < 0 x \neq 0, 0\leq a(t)$ is continuous $\omega$-periodic, $[\cdot]$ is the integer part function, and the integer $K \geq 0$ is the delay. The case of integer period $\omega$ allows for a reduction to finite-dimensional difference equations. The dynamics of the latter are studied in terms of corresponding discrete maps, including the partial case of interval maps $(K = 0)$.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2014,08
dc.subjectPeriodic differential delay equationsen_US
dc.subjectDiscretizationsen_US
dc.subjectDifference equationsen_US
dc.subjectPeriodic solutions and their stability/instabilityen_US
dc.subjectGlobal dynamicsen_US
dc.subjectReduction to discrete and one-dimensional mapsen_US
dc.subjectInterval mapsen_US
dc.titleOn periodic solutions and global dynamics in a periodic differential delay equationen_US
dc.typePreprinten_US
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.de
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.en
dc.identifier.doi10.14760/OWP-2014-08
local.scientificprogramResearch in Pairs 2013
local.series.idOWP-2014-08
local.subject.msc34
local.subject.msc37
local.subject.msc39
dc.identifier.urnurn:nbn:de:101:1-201405125267
dc.identifier.ppn1656147874


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