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http://hdl.handle.net/1942/5012
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | LI, Chengzhi | - |
dc.date.accessioned | 2007-12-20T15:54:46Z | - |
dc.date.available | 2007-12-20T15:54:46Z | - |
dc.date.issued | 2001 | - |
dc.identifier.citation | Journal of differential equations, 175(2). p. 209-243 | - |
dc.identifier.issn | 0022-0396 | - |
dc.identifier.uri | http://hdl.handle.net/1942/5012 | - |
dc.description.abstract | The paper deals with Lienard equations of the form x = y, y = P(x) + yQ(x) with P and Q polynomials of degree respectively 3 and 2. Attention goes to perturbations of the Hamiltonian vector field with an elliptic Hamiltonian of degree 4, exhibiting a cuspidal loop. It is proven that the least upper bound for the number of zeros of the related elliptic integral is four, and this upper bound is a sharp one. This permits to prove the existence of Lienard equations of type (3, 2) with at least four limit cycles. The paper also contains a complete result on the respective number of "small" and "large" limit cycles | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC | - |
dc.subject.other | CRITICAL-POINTS; NUMBER; PERIOD | - |
dc.title | Perturbations from an elliptic Hamiltonian of degree four - II. Cuspidal loop | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 243 | - |
dc.identifier.issue | 2 | - |
dc.identifier.spage | 209 | - |
dc.identifier.volume | 175 | - |
local.bibliographicCitation.jcat | A1 | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.doi | 10.1006/jdeq.2000.3978 | - |
dc.identifier.isi | 000171278800002 | - |
item.fullcitation | DUMORTIER, Freddy & LI, Chengzhi (2001) Perturbations from an elliptic Hamiltonian of degree four - II. Cuspidal loop. In: Journal of differential equations, 175(2). p. 209-243. | - |
item.accessRights | Closed Access | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | LI, Chengzhi | - |
item.fulltext | No Fulltext | - |
item.validation | ecoom 2002 | - |
crisitem.journal.issn | 0022-0396 | - |
crisitem.journal.eissn | 1090-2732 | - |
Appears in Collections: | Research publications |
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