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http://hdl.handle.net/1942/15013
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | BONCKAERT, Patrick | - |
dc.contributor.author | VERSTRINGE, Freek | - |
dc.date.accessioned | 2013-04-12T07:30:26Z | - |
dc.date.available | 2013-04-12T07:30:26Z | - |
dc.date.issued | 2012 | - |
dc.identifier.citation | ANNALES DE L INSTITUT FOURIER, 62 (6), p. 2211-2225 | - |
dc.identifier.issn | 0373-0956 | - |
dc.identifier.uri | http://hdl.handle.net/1942/15013 | - |
dc.description.abstract | We explore the convergence/divergence of the normal form for a singularity of a vector field on C-n with nilpotent linear part. We show that a Gevrey-alpha vector field X with a nilpotent linear part can be reduced to a normal form of Gevrey-1 + alpha type with the use of a Gevrey-1 + alpha transformation. We also give a proof of the existence of an optimal order to stop the normal form procedure. If one stops the normal form procedure at this order, the remainder becomes exponentially small. | - |
dc.language.iso | en | - |
dc.publisher | ANNALES INST FOURIER | - |
dc.subject.other | normal forms; nilpotent linear part; representation theory; Gevrey normalization | - |
dc.subject.other | Mathematics; normal forms; nilpotent linear part; representation theory; Gevrey normalization | - |
dc.title | Normal forms with exponentially small remainder and gevrey normalization for vector fields with a nilpotent linear part | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 2225 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | 2211 | - |
dc.identifier.volume | 62 | - |
local.format.pages | 15 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Bonckaert, P (reprint author), [Bonckaert, Patrick; Verstringe, Freek] Univ Hasselt, B-3590 Diepenbeek, Belgium. Bonckaert, P (reprint author) | - |
local.publisher.place | ST MARTIN D HERES CEDEX | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.isi | 000316032000007 | - |
item.fullcitation | BONCKAERT, Patrick & VERSTRINGE, Freek (2012) Normal forms with exponentially small remainder and gevrey normalization for vector fields with a nilpotent linear part. In: ANNALES DE L INSTITUT FOURIER, 62 (6), p. 2211-2225. | - |
item.accessRights | Closed Access | - |
item.contributor | BONCKAERT, Patrick | - |
item.contributor | VERSTRINGE, Freek | - |
item.fulltext | No Fulltext | - |
item.validation | ecoom 2014 | - |
crisitem.journal.issn | 0373-0956 | - |
crisitem.journal.eissn | 1777-5310 | - |
Appears in Collections: | Research publications |
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