Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/25767
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | DE MAESSCHALCK, Peter | - |
dc.contributor.author | NAUDOT, Vincent | - |
dc.contributor.author | WYNEN, Jeroen | - |
dc.date.accessioned | 2018-03-12T12:59:35Z | - |
dc.date.available | 2018-03-12T12:59:35Z | - |
dc.date.issued | 2018 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, 264(2), p. 1442-1474 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/1942/25767 | - |
dc.description.abstract | We consider a heteroclinic connection in a planar system, between two symmetric hyperbolic saddles of which the eigenvalues are resonant. Starting with a C-infinity normal form, defined globally near the connection, we normally linearize the vector field by using finitely smooth tags of logarithmic form. We furthermore define an asymptotic entry-exit relation, and we discuss on two examples how to deal with counting limit cycles near a limit periodic set involving such a connection. (C) 2017 Elsevier Inc. All rights reserved. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.rights | © 2017 Elsevier Inc. All rights reserved. | - |
dc.subject.other | Planar vector fields; Saddle connection; Invariant; Linearization; Poincaré map; Cyclicity | - |
dc.subject.other | Planar vector fields; Saddle connection; Invariant; Linearization; Poincare map; Cyclicity | - |
dc.title | Normal linearization and transition map near a saddle connection with symmetric resonances | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 1474 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 1442 | - |
dc.identifier.volume | 264 | - |
local.format.pages | 33 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [De Maesschalck, Peter; Wynen, Jeroen] Hasselt Univ, Dept Math, Martelarenlaan 42, B-3500 Hasselt, Belgium. [Naudot, Vincent] Florida Atlantic Univ, Dept Math Sci, 777 Glades Rd, Boca Raton, FL 33431 USA. | - |
local.publisher.place | SAN DIEGO | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1016/j.jde.2017.09.042 | - |
dc.identifier.isi | 000415908100029 | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
item.validation | ecoom 2018 | - |
item.contributor | DE MAESSCHALCK, Peter | - |
item.contributor | NAUDOT, Vincent | - |
item.contributor | WYNEN, Jeroen | - |
item.fullcitation | DE MAESSCHALCK, Peter; NAUDOT, Vincent & WYNEN, Jeroen (2018) Normal linearization and transition map near a saddle connection with symmetric resonances. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 264(2), p. 1442-1474. | - |
crisitem.journal.issn | 0022-0396 | - |
crisitem.journal.eissn | 1090-2732 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
de maesschalck 1.pdf Restricted Access | Published version | 542.97 kB | Adobe PDF | View/Open Request a copy |
NormalLinearizationWynenManuscript2.pdf | Non Peer-reviewed author version | 564.16 kB | Adobe PDF | View/Open |
Page view(s)
98
checked on Sep 7, 2022
Download(s)
194
checked on Sep 7, 2022
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.