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http://hdl.handle.net/1942/4045
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | Roussarie, Robert | - |
dc.date.accessioned | 2007-12-07T15:02:22Z | - |
dc.date.available | 2007-12-07T15:02:22Z | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 19(4). p. 631-674 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | http://hdl.handle.net/1942/4045 | - |
dc.description.abstract | The paper deals with the bifurication of relaxation oscillations in two dimensional slow-fast systems. The most generic case is studied by means of gemoetric singular perturbation theory, using blow up at contact points. It reveals that the bifurication goes through a continuum of transient canard oscillations, controlled by the slow divergence integral alonng the critical curve. The theory is applied to polynomial Lienard equations, showing that the cyclicity near a generic coallescence of two relaxation oscillations does not need to be limited to two, but can be arbitarily high. | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.subject.other | slow-fast system; bifurcation; relaxation oscillation; canard cycle; Lienard equation | - |
dc.title | Bifurcation of relaxation oscillations in dimension two | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 674 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 631 | - |
dc.identifier.volume | 19 | - |
local.format.pages | 44 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Univ Hasselt, B-3590 Diepenbeek, Belgium. Univ Bourgogne, Inst Math Bourgogne, UMR 5584, CNRS, F-21078 Dijon, France.DUMORTIER, F, Univ Hasselt, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.roussari@u-bourgogne.fr | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.isi | 000249791100002 | - |
dc.identifier.url | http://aimsciences.org/journals/pdfs.jsp?paperID=2821&mode=abstract | - |
item.accessRights | Closed Access | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | Roussarie, Robert | - |
item.validation | ecoom 2008 | - |
item.fulltext | No Fulltext | - |
item.fullcitation | DUMORTIER, Freddy & Roussarie, Robert (2007) Bifurcation of relaxation oscillations in dimension two. In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 19(4). p. 631-674. | - |
crisitem.journal.issn | 1078-0947 | - |
crisitem.journal.eissn | 1553-5231 | - |
Appears in Collections: | Research publications |
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