Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/18693
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dc.contributor.authorBONCKAERT, Patrick-
dc.contributor.authorDE MAESSCHALCK, Peter-
dc.contributor.authorDoan, T. S.-
dc.contributor.authorSiegmund, S.-
dc.date.accessioned2015-04-13T14:15:44Z-
dc.date.available2015-04-13T14:15:44Z-
dc.date.issued2015-
dc.identifier.citationJOURNAL OF DIFFERENTIAL EQUATIONS, 258 (5), p. 1618-1652-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/1942/18693-
dc.description.abstractWe prove a partial linearization theorem for planar nonautonomous differential equations with one center-like direction and one hyperbolic direction. Gap conditions are formulated in terms of the dichotomy spectral intervals. The result is applied to the Duffing-van der Pol oscillator under a nonautonomous parametric perturbation. (C) 2014 Elsevier Inc. All rights reserved.-
dc.description.sponsorshipThis work is supported by a joint project between Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number FWO.101.2013.02 and Research Foundation Flanders (FWO).-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.rights© 2014 Elsevier Inc. All rights reserved.-
dc.titlePartial linearization for planar nonautonomous differential equations-
dc.typeJournal Contribution-
dc.identifier.epage1652-
dc.identifier.issue5-
dc.identifier.spage1618-
dc.identifier.volume258-
local.format.pages35-
local.bibliographicCitation.jcatA1-
dc.description.notes[Bonckaert, P.; De Maesschalck, P.] Hasselt Univ, B-3590 Diepenbeek, Belgium. [Doan, T. S.] Univ London Imperial Coll Sci Technol & Med, Dept Math, London SW7 2AZ, England. [Doan, T. S.] Vietnam Acad Sci & Technol, Inst Math, Hanoi 10307, Vietnam. [Siegmund, S.] Tech Univ Dresden, Dept Math, Ctr Dynam, D-01062 Dresden, Germany. [Siegmund, S.] Tech Univ Dresden, Inst Anal, D-01062 Dresden, Germany. patrick.bonckaert@uhasselt.be; peter.demaesschalck@uhasselt.be; t.doan@imperial.ac.uk; stefan.siegmund@tu-dresden.de-
local.publisher.placeSAN DIEGO-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1016/j.jde.2014.11.007-
dc.identifier.isi000348826300007-
item.contributorBONCKAERT, Patrick-
item.contributorDE MAESSCHALCK, Peter-
item.contributorDoan, T. S.-
item.contributorSiegmund, S.-
item.fullcitationBONCKAERT, Patrick; DE MAESSCHALCK, Peter; Doan, T. S. & Siegmund, S. (2015) Partial linearization for planar nonautonomous differential equations. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 258 (5), p. 1618-1652.-
item.accessRightsRestricted Access-
item.fulltextWith Fulltext-
item.validationecoom 2016-
crisitem.journal.issn0022-0396-
crisitem.journal.eissn1090-2732-
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