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http://hdl.handle.net/1942/4040
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DC Field | Value | Language |
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dc.contributor.author | CAUBERGH, Magdalena | - |
dc.contributor.author | DUMORTIER, Freddy | - |
dc.contributor.author | Roussarie, Robert | - |
dc.date.accessioned | 2007-12-07T15:01:01Z | - |
dc.date.available | 2007-12-07T15:01:01Z | - |
dc.date.issued | 2007 | - |
dc.identifier.citation | COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 6(1). p. 1-21 | - |
dc.identifier.issn | 1534-0392 | - |
dc.identifier.uri | http://hdl.handle.net/1942/4040 | - |
dc.description.abstract | It is known that perturbations from a Hamiltonian 2-saddle cycle F can produce limit cycles that are not covered by the Abelian integral, even when the Abelian integral is generic. These limit cycles are called alien limit cycles. In this paper, extending the results of [6] and [2], we investigate the number of alien limit cycles in generic multi-parameter rigid unfoldings of the Hamiltonian 2-saddle cycle, keeping one connection unbroken at the bifurcation. | - |
dc.language.iso | en | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES | - |
dc.subject.other | planar vector field; Hamiltonian perturbation; limit cycle; Abelian integral; two-saddle cycle; asymptotic scale deformation | - |
dc.title | Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 21 | - |
dc.identifier.issue | 1 | - |
dc.identifier.spage | 1 | - |
dc.identifier.volume | 6 | - |
local.format.pages | 21 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Univ Hasselt, B-3590 Diepenbeek, Belgium. Univ Bourgogne, CNRS, UMR 5584, IMB, F-21078 Dijon, France.Caubergh, M, Univ Hasselt, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium.magdalena.caubergh@uhasselt.be freddy.dumortier@uhasselt.be roussari@mail.u-bourgogne.fr | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.bibliographicCitation.oldjcat | A1 | - |
dc.identifier.isi | 000243024100001 | - |
dc.identifier.url | http://aimsciences.org/journals/pdfs.jsp?paperID=2145&mode=abstract | - |
item.accessRights | Closed Access | - |
item.fulltext | No Fulltext | - |
item.validation | ecoom 2008 | - |
item.contributor | CAUBERGH, Magdalena | - |
item.contributor | DUMORTIER, Freddy | - |
item.contributor | Roussarie, Robert | - |
item.fullcitation | CAUBERGH, Magdalena; DUMORTIER, Freddy & Roussarie, Robert (2007) Alien limit cycles in rigid unfoldings of a Hamiltonian 2-saddle cycle. In: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 6(1). p. 1-21. | - |
crisitem.journal.issn | 1534-0392 | - |
crisitem.journal.eissn | 1553-5258 | - |
Appears in Collections: | Research publications |
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