dc.contributor.author Ivanov, Anatoli F. dc.contributor.author Trofimchuk, Sergei I. dc.date.accessioned 2014-05-13T12:00:00Z dc.date.accessioned 2016-10-05T14:13:58Z dc.date.available 2014-05-13T12:00:00Z dc.date.available 2016-10-05T14:13:58Z dc.date.issued 2014-05-13 dc.identifier.uri http://publications.mfo.de/handle/mfo/1079 dc.description Research in Pairs 2013 en_US dc.description.abstract Several 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.iso en en_US dc.publisher Mathematisches Forschungsinstitut Oberwolfach en_US dc.relation.ispartofseries Oberwolfach Preprints;2014,08 dc.subject Periodic differential delay equations en_US dc.subject Discretizations en_US dc.subject Difference equations en_US dc.subject Periodic solutions and their stability/instability en_US dc.subject Global dynamics en_US dc.subject Reduction to discrete and one-dimensional maps en_US dc.subject Interval maps en_US dc.title On periodic solutions and global dynamics in a periodic differential delay equation en_US dc.type Preprint en_US dc.identifier.doi 10.14760/OWP-2014-08 local.scientificprogram Research in Pairs 2013 local.series.id OWP-2014-08 local.subject.msc 34 local.subject.msc 37 local.subject.msc 39
﻿