Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/21612
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dc.contributor.authorWYNEN, Jeroen-
dc.date.accessioned2016-07-01T10:48:45Z-
dc.date.available2016-07-01T10:48:45Z-
dc.date.issued2016-
dc.identifier.citationJOURNAL OF DIFFERENTIAL EQUATIONS, 260 (10), p. 7606-7633-
dc.identifier.issn0022-0396-
dc.identifier.urihttp://hdl.handle.net/1942/21612-
dc.description.abstractThe present paper studies vector fields of the form (x) over dot = (q/2 + O (1 - x(2))) (1 - x(2)) + O (y), (y) over dot =(px + 0 (1 - x(2))) y + O (y(2)), which contain a separatrix connection between hyperbolic saddles with opposite eigenvalues where the connection is fixed. Smooth semi-local normal forms are provided in vicinity of the connection, both in the resonant and non-resonant case. First, a formal conjugacy is constructed near the separatrix. Then, a smooth change of coordinates is realized by generalizing known local results near the hyperbolic points. (C) 2016 Elsevier Inc. All rights reserved.-
dc.language.isoen-
dc.publisherACADEMIC PRESS INC ELSEVIER SCIENCE-
dc.rights© 2016 Elsevier Inc. All rights reserved.-
dc.subject.otherplanar vector fields; saddle connection; smooth normal forms-
dc.subject.otherPlanar vector fields; Saddle connection; Smooth normal forms-
dc.titleNormal forms near a symmetric planar saddle connection-
dc.typeJournal Contribution-
dc.identifier.epage7633-
dc.identifier.issue10-
dc.identifier.spage7606-
dc.identifier.volume260-
local.format.pages28-
local.bibliographicCitation.jcatA1-
dc.description.notes[Wynen, Jeroen] Hasselt Univ, Dept Math, Martelarenlaan 42, B-3500 Hasselt, Belgium.-
local.publisher.placeSAN DIEGO-
local.type.refereedRefereed-
local.type.specifiedArticle-
dc.identifier.doi10.1016/j.jde.2016.01.034-
dc.identifier.isi000373243700013-
item.fulltextWith Fulltext-
item.accessRightsRestricted Access-
item.validationecoom 2017-
item.contributorWYNEN, Jeroen-
item.fullcitationWYNEN, Jeroen (2016) Normal forms near a symmetric planar saddle connection. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 260 (10), p. 7606-7633.-
crisitem.journal.issn0022-0396-
crisitem.journal.eissn1090-2732-
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