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http://hdl.handle.net/1942/8155
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DC Field | Value | Language |
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dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | LI, Chengzhi | - |
dc.date.accessioned | 2008-04-07T12:36:51Z | - |
dc.date.available | 2008-04-07T12:36:51Z | - |
dc.date.issued | 2000 | - |
dc.identifier.citation | Bates, PW & Lu, K & Xu, D (Ed.) PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND COMPUTATIONAL SIMULATIONS. p. 66-70. | - |
dc.identifier.isbn | 981-02-4268-9 | - |
dc.identifier.uri | http://hdl.handle.net/1942/8155 | - |
dc.description.abstract | The paper deals with a complete study of the number of zeros of Abelian integrals, related to perturbations of the Hamilonian vector fields with an elliptic Hamiltonian of degree four: (x) over dot = y, (y) over dot = P(x) + deltaQ(x)y, where P and Q are polynomials of degree respectively 3 and 2, and delta small. We prove that if the unperturbed Hamiltonian vector field has a saddle loop, a cuspidal loop or a global center, then for the perturbed system the corresponding maximum number of zeros of Abelian integral is respectively 2, 4 and 4. In the last case, the perturbed system may have a quadruple limit cycle, as was conjectured in (11). | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.title | Perturbations from an elliptic Hamiltonian of degree four | - |
dc.type | Proceedings Paper | - |
local.bibliographicCitation.authors | Bates, PW | - |
local.bibliographicCitation.authors | Lu, K | - |
local.bibliographicCitation.authors | Xu, D | - |
local.bibliographicCitation.conferencedate | JUN 13-18, 1999 | - |
local.bibliographicCitation.conferencename | International Conference on Differential Equations and Computational Simulations | - |
local.bibliographicCitation.conferenceplace | CHENGDU, PEOPLES R CHINA | - |
dc.identifier.epage | 70 | - |
dc.identifier.spage | 66 | - |
local.format.pages | 5 | - |
local.bibliographicCitation.jcat | C1 | - |
dc.description.notes | Limburgs Univ Ctr, Diepenbeek, B-3590 Belgium.Dumortier, F, Limburgs Univ Ctr, Univ Campus, Diepenbeek, B-3590 Belgium. | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | C1 | - |
dc.identifier.isi | 000168276000012 | - |
local.bibliographicCitation.btitle | PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND COMPUTATIONAL SIMULATIONS | - |
item.fulltext | No Fulltext | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | LI, Chengzhi | - |
item.accessRights | Closed Access | - |
item.fullcitation | DUMORTIER, Freddy & LI, Chengzhi (2000) Perturbations from an elliptic Hamiltonian of degree four. In: Bates, PW & Lu, K & Xu, D (Ed.) PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS AND COMPUTATIONAL SIMULATIONS. p. 66-70.. | - |
item.validation | ecoom 2002 | - |
Appears in Collections: | Research publications |
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