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http://hdl.handle.net/1942/3395
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | IBANEZ MESA, Santiago | - |
dc.date.accessioned | 2007-11-28T08:48:46Z | - |
dc.date.available | 2007-11-28T08:48:46Z | - |
dc.date.issued | 1996 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, 127(2). p. 590-647 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/1942/3395 | - |
dc.description.abstract | This paper deals with singularities of vector fields in R(3) having a 1-jet linear conjugate to y(partial derivative/partial derivative x) + z(partial derivative/partial derivative y). They first occur in generic 3-parameter families. In codimension 3 all such singularities are mutually C-D equivalent. We give a proof of this, provide a good normal form for 3-parameter unfoldings, and show that all non-wandering behaviour in such an unfolding is of small amplitude. We also show that for codimension 4 there are exactly 5 types of singularities for C-D equivalence. The proof relies on normal form theory, blowing-up, and estimation of Abelian integrals. (C) 1996 Academic Press, Inc. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC JNL-COMP SUBSCRIPTIONS | - |
dc.title | Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 647 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 590 | - |
dc.identifier.volume | 127 | - |
local.format.pages | 58 | - |
dc.description.notes | UNIV OVIEDO,DEPT MATEMAT,E-33007 OVIEDO,SPAIN.Dumortier, F, LIMBURGS UNIV CENTRUM,UNIV CAMPUS,B-3590 DIEPENBEEK,BELGIUM. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1006/jdeq.1996.0085 | - |
dc.identifier.isi | A1996UN29900013 | - |
item.fullcitation | DUMORTIER, Freddy & IBANEZ MESA, Santiago (1996) Nilpotent singularities in generic 4-parameter families of 3-dimensional vector fields. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 127(2). p. 590-647. | - |
item.fulltext | No Fulltext | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | IBANEZ MESA, Santiago | - |
item.accessRights | Closed Access | - |
Appears in Collections: | Research publications |
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