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http://hdl.handle.net/1942/3256
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DC Field | Value | Language |
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dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | Li, CZ | - |
dc.contributor.author | ZHANG, Zefan | - |
dc.date.accessioned | 2007-11-27T12:55:51Z | - |
dc.date.available | 2007-11-27T12:55:51Z | - |
dc.date.issued | 1997 | - |
dc.identifier.citation | JOURNAL OF DIFFERENTIAL EQUATIONS, 139(1). p. 146-193 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/1942/3256 | - |
dc.description.abstract | In this paper we present a complete study of quadratic 3-parameter unfoldings of some integrable system belonging to the class Q(3)(R), and having two centers and two unbounded heteroclinic loops. We restrict to unfoldings that are transverse to Q(3)(R), obtain a versal bifurcation diagram and all global phase portraits, including the precise number and configuration of the limit cycles. It is proved that 3 is the maximal number of limit cycles surrounding a single focus, and only the (1, 1)-configuration can occur in case of simultaneous nests of limit cycles. Essentially the proof relies on a careful analysis of a related non-conservative Abelian integral. (C) 1997 Academic Press. | - |
dc.language.iso | en | - |
dc.publisher | Academic Press | - |
dc.title | Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 193 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 146 | - |
dc.identifier.volume | 139 | - |
local.format.pages | 48 | - |
dc.description.notes | BEIJING UNIV,DEPT MATH,BEIJING 100871,PEOPLES R CHINA. BEIJING UNIV,MATH INST,BEIJING 100871,PEOPLES R CHINA.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.doi | 10.1006/jdeq.1997.3285 | - |
dc.identifier.isi | A1997XU83200007 | - |
item.fullcitation | DUMORTIER, Freddy; Li, CZ & ZHANG, Zefan (1997) Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops. In: JOURNAL OF DIFFERENTIAL EQUATIONS, 139(1). p. 146-193. | - |
item.accessRights | Closed Access | - |
item.fulltext | No Fulltext | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | Li, CZ | - |
item.contributor | ZHANG, Zefan | - |
Appears in Collections: | Research publications |
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