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http://hdl.handle.net/1942/11566
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | DE MAESSCHALCK, Peter | - |
dc.contributor.author | DUMORTIER, Freddy | - |
dc.date.accessioned | 2011-02-01T12:21:03Z | - |
dc.date.available | NO_RESTRICTION | - |
dc.date.available | 2011-02-01T12:21:03Z | - |
dc.date.issued | 2011 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, 250(2). p. 1000-1025 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/1942/11566 | - |
dc.description.abstract | In this paper we study perturbations from planar vector fields having a line of zeros and representing a singular limit of Bogdanov-Takens (BT) bifurcations. We introduce, among other precise definitions, the notion of slow-fast BT-bifurcation and we provide a complete study of the bifurcation diagram and the related phase portraits. Based on geometric singular perturbation theory, including blow-up, we get results that are valid on a uniform neighborhood both in parameter space and in the phase plane. (C) 2010 Elsevier Inc. All rights reserved. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject.other | Singular perturbations; Bogdanov-Takens bifurcation; Limit cycles | - |
dc.title | Slow-fast Bogdanov-Takens bifurcations | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1025 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 1000 | - |
dc.identifier.volume | 250 | - |
local.format.pages | 26 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [De Maesschalck, P.; Dumortier, F.] Hasselt Univ, B-3590 Diepenbeek, Belgium. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1016/j.jde.2010.07.022 | - |
dc.identifier.isi | 000285490300015 | - |
item.accessRights | Closed Access | - |
item.validation | ecoom 2012 | - |
item.fulltext | No Fulltext | - |
item.fullcitation | DE MAESSCHALCK, Peter & DUMORTIER, Freddy (2011) Slow-fast Bogdanov-Takens bifurcations. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 250(2). p. 1000-1025. | - |
item.contributor | DE MAESSCHALCK, Peter | - |
item.contributor | DUMORTIER, Freddy | - |
crisitem.journal.issn | 0022-0396 | - |
crisitem.journal.eissn | 1090-2732 | - |
Appears in Collections: | Research publications |
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