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http://hdl.handle.net/1942/29791
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DC Field | Value | Language |
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dc.contributor.author | BONCKAERT, Patrick | - |
dc.date.accessioned | 2019-10-21T12:24:22Z | - |
dc.date.available | 2019-10-21T12:24:22Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 26(1), p. 21-62 | - |
dc.identifier.issn | 1370-1444 | - |
dc.identifier.uri | http://hdl.handle.net/1942/29791 | - |
dc.description.abstract | We consider a planar vector field X near a saddle type p : -q resonant singular point. Assuming that it has a normal form with a Gevrey-d expansion (like d = p + q which is in particular the case when starting from an analytic vector field) we show that X can be linearized working with a change of coordinates that is of Gevrey order d in certain log-like variables, called compensators or also tags, multiplied by the first integral u = x^qy^p of the linear part. Next we consider the unfolding of such a resonance, and provide (weaker) Gevrey-type linearization using compensators. | - |
dc.language.iso | en | - |
dc.subject.other | Vector field; conjugacy; linearization; resonance; Gevrey series; compensator | - |
dc.title | Gevrey series in compensators linearizing a planar resonant vector field and its unfolding | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 62 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 21 | - |
dc.identifier.volume | 26 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.36045/bbms/1553047227 | - |
dc.identifier.isi | 000461757100003 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Restricted Access | - |
item.validation | ecoom 2020 | - |
item.contributor | BONCKAERT, Patrick | - |
item.fullcitation | BONCKAERT, Patrick (2019) Gevrey series in compensators linearizing a planar resonant vector field and its unfolding. In: BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 26(1), p. 21-62. | - |
crisitem.journal.issn | 1370-1444 | - |
crisitem.journal.eissn | 2034-1970 | - |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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Gevrey_comp_lin_vf.pdf Restricted Access | Peer-reviewed author version | 411.8 kB | Adobe PDF | View/Open Request a copy |
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