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Counterexample to a conjecture on the algebraic limit cycles of polynomial vector fields
dc.contributor.author | Llibre Saló, Jaume |
dc.contributor.author | Pantazi, Chara |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
dc.date.accessioned | 2007-05-07T18:25:25Z |
dc.date.available | 2007-05-07T18:25:25Z |
dc.date.created | 2004 |
dc.date.issued | 2004 |
dc.identifier.uri | http://hdl.handle.net/2117/930 |
dc.description.abstract | In Geometriae Dedicata 79 (2000), 101{108, Rudolf Winkel conjectured: For a given algebraic curve f = 0 of degree m > 4 there is in general no polynomial vector ¯eld of degree less than 2m ¡ 1 leaving invariant f = 0 and having exactly the ovals of f = 0 as limit cycles. Here we show that this conjecture is not true. |
dc.format.extent | 8 |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 2.5 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.5/es/ |
dc.subject.lcsh | Geometry, Algebraic |
dc.subject.lcsh | Differential equations |
dc.subject.other | polynomial vector fields |
dc.subject.other | algebraic limit cycles |
dc.title | Counterexample to a conjecture on the algebraic limit cycles of polynomial vector fields |
dc.type | Article |
dc.subject.lemac | Geometria algebraica |
dc.subject.lemac | Geometria analítica |
dc.subject.lemac | Equacions diferencials ordinàries |
dc.contributor.group | Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions |
dc.subject.ams | Classificació AMS::34 Ordinary differential equations::34C Qualitative theory |
dc.subject.ams | Classificació AMS::14 Algebraic geometry::14P Real algebraic and real analytic geometry |
dc.rights.access | Open Access |
local.personalitzacitacio | true |
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