Please use this identifier to cite or link to this item:
http://hdl.handle.net/1942/9083
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Artes, Joan C. | - |
dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | Llibre, Jaurne | - |
dc.date.accessioned | 2009-01-05T12:45:18Z | - |
dc.date.available | 2009-01-05T12:45:18Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, 246(1). p. 235-260 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/1942/9083 | - |
dc.description.abstract | In this paper we introduce the notion of infinity strip and strip of hyperbolas as organizing centers of limit cycles in polynomial differential systems on the plane. We study a strip of hyperbolas occurring in some quadratic systems. We deal with the cyclicity of the degenerate graphics Dl(2a) from the programme, set up in [F. Dumorlier, R. Roussarie, C. Rousseau, Hilbert's 16th problem for quadratic vector fields, J. Differential Equations 110 (1994) 86-133], to solve the finiteness part of Hilbert's 16th problem for quadratic systems. Techniques from geometric singular perturbation theory are combined with the use of the Bautin ideal. We also rely on the theory of Darboux integrability. (c) 2008 Elsevier Inc. All rights reserved. | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.subject.other | Limit cycle; Quadratic vector field; Strip of hyperbolas | - |
dc.title | Limit cycles near hyperbolas in quadratic systems | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 260 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 235 | - |
dc.identifier.volume | 246 | - |
local.format.pages | 26 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | [Dumortier, Freddy] Univ Hasselt, Dept Math, B-3590 Diepenbeek, Belgium. [Artes, Joan C.; Llibre, Jaurne] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Spain. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1016/j.jde.2008.06.032 | - |
dc.identifier.isi | 000261314600011 | - |
item.accessRights | Closed Access | - |
item.contributor | Artes, Joan C. | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | Llibre, Jaurne | - |
item.fulltext | No Fulltext | - |
item.fullcitation | Artes, Joan C.; DUMORTIER, Freddy & Llibre, Jaurne (2009) Limit cycles near hyperbolas in quadratic systems. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 246(1). p. 235-260. | - |
item.validation | ecoom 2009 | - |
crisitem.journal.issn | 0022-0396 | - |
crisitem.journal.eissn | 1090-2732 | - |
Appears in Collections: | Research publications |
SCOPUSTM
Citations
4
checked on Sep 3, 2020
WEB OF SCIENCETM
Citations
7
checked on Apr 14, 2024
Page view(s)
64
checked on May 30, 2023
Google ScholarTM
Check
Altmetric
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.