Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/41515
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dc.contributor.authorLENTJES, Bram-
dc.contributor.authorSpek, Len-
dc.contributor.authorBOSSCHAERT, Maikel-
dc.contributor.authorKuznetsov, Yuri A.-
dc.date.accessioned2023-10-12T08:11:36Z-
dc.date.available2023-10-12T08:11:36Z-
dc.date.issued2023-
dc.date.submitted2023-10-11T13:50:10Z-
dc.identifier.citationJournal of Dynamics and Differential Equations,-
dc.identifier.urihttp://hdl.handle.net/1942/41515-
dc.description.abstractIn this paper, we prove the existence of a periodic smooth finite-dimensional center manifold near a nonhyperbolic cycle in classical delay differential equations by using the Lyapunov-Perron method. The results are based on the rigorous functional analytic perturbation framework for dual semigroups (sun-star calculus). The generality of the dual perturbation framework ensures that the results extend to a much broader class of evolution equations.-
dc.language.isoen-
dc.publisherSPRINGER-
dc.rightsThe Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2023-
dc.subject.otherDelay differential equations-
dc.subject.otherDual perturbation theory-
dc.subject.otherSun-star calculus-
dc.subject.otherCenter manifold theorem-
dc.subject.otherNonhyperbolic cycles-
dc.titlePeriodic Center Manifolds for DDEs in the Light of Suns and Stars-
dc.typeJournal Contribution-
local.bibliographicCitation.jcatA1-
dc.description.notesLentjes, B (corresponding author), Hasselt Univ, Dept Math, Diepenbeek Campus, B-3590 Diepenbeek, Belgium.-
dc.description.notesbram.lentjes@uhasselt.be; l.spek@utwente.nl;-
dc.description.notesmaikel.bosschaert@uhasselt.be; i.a.kouznetsov@uu.nl-
local.publisher.placeONE NEW YORK PLAZA, SUITE 4600, NEW YORK, NY, UNITED STATES-
local.type.refereedRefereed-
local.type.specifiedArticle-
local.bibliographicCitation.statusEarly view-
dc.identifier.doi10.1007/s10884-023-10289-9-
dc.identifier.isi001043078600002-
dc.contributor.orcidLENTJES, Bram/0000-0001-8298-4522-
local.provider.typewosris-
local.description.affiliation[Lentjes, Bram] Hasselt Univ, Dept Math, Diepenbeek Campus, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[Spek, Len; Kuznetsov, Yuri A.] Univ Twente, Dept Appl Math, NL-7500 AE Enschede, Netherlands.-
local.description.affiliation[Bosschaert, Maikel M.] Hasselt Univ, Data Sci Inst, Diepenbeek Campus, B-3590 Diepenbeek, Belgium.-
local.description.affiliation[Kuznetsov, Yuri A.] Univ Utrecht, Dept Math, NL-3508 TA Utrecht, Netherlands.-
local.uhasselt.internationalyes-
item.fulltextWith Fulltext-
item.accessRightsOpen Access-
item.contributorLENTJES, Bram-
item.contributorSpek, Len-
item.contributorBOSSCHAERT, Maikel-
item.contributorKuznetsov, Yuri A.-
item.fullcitationLENTJES, Bram; Spek, Len; BOSSCHAERT, Maikel & Kuznetsov, Yuri A. (2023) Periodic Center Manifolds for DDEs in the Light of Suns and Stars. In: Journal of Dynamics and Differential Equations,.-
crisitem.journal.issn1040-7294-
crisitem.journal.eissn1572-9222-
Appears in Collections:Research publications
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