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http://hdl.handle.net/1942/3159
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DC Field | Value | Language |
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dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | IBANEZ MESA, Santiago | - |
dc.date.accessioned | 2007-11-26T16:21:19Z | - |
dc.date.available | 2007-11-26T16:21:19Z | - |
dc.date.issued | 1998 | - |
dc.identifier.citation | NONLINEARITY, 11(4). p. 1037-1047 | - |
dc.identifier.issn | 0951-7715 | - |
dc.identifier.uri | http://hdl.handle.net/1942/3159 | - |
dc.description.abstract | In his well known paper 'Singularities of vector fields', Takens made a topological classification of vector fields up to codimension 2 and introduced a semialgebraic stratification to distinguish the different cases; from dimensions greater than or equal to 3 he had to use the notion of 'weak-C-0-equivalence'. In this paper we show how to classify singularities of vector fields on R-3 up to codimension 4 for the notion of C-0 equivalence. To separate the different cases we use a semianalytic stratification and show that a semialgebraic one is not possible, even for the notion of weak-C-0-equivalence. Up to codimension 3 the stratification is semialgebraic. We will always suppose that the vector fields are C-infinity, although it will be clear that the results are valid for C-r, with r sufficiently big. We provide a complete, but short, survey of the different techniques to be used, referring to the existing literature for precise calculations and pictures. We put much emphasis on the new results. | - |
dc.language.iso | en | - |
dc.publisher | IOP PUBLISHING LTD | - |
dc.title | Singularities of vector fields on IR-3 | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1047 | - |
dc.identifier.issue | 4 | - |
dc.identifier.spage | 1037 | - |
dc.identifier.volume | 11 | - |
local.format.pages | 11 | - |
dc.description.notes | Limburgs Univ Ctr, B-3590 Diepenbeek, Belgium. Univ Oviedo, Dept Matemat, Oviedo 33007, Spain.Dumortier, F, Limburgs Univ Ctr, Univ Campus, B-3590 Diepenbeek, Belgium. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.isi | 000074936900015 | - |
item.fulltext | No Fulltext | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | IBANEZ MESA, Santiago | - |
item.accessRights | Closed Access | - |
item.fullcitation | DUMORTIER, Freddy & IBANEZ MESA, Santiago (1998) Singularities of vector fields on IR-3. In: NONLINEARITY, 11(4). p. 1037-1047. | - |
item.validation | ecoom 1999 | - |
Appears in Collections: | Research publications |
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