Now showing items 1-3 of 3

  • Morphisms and inverse problems 

    Christopher, Colin; Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian (2011-11-03)
    External research report
    Open Access
    In order to investigate polynomial vector ¯elds admitting a prescribed Darboux integrating factor, we show that it is helpful to employ morphisms of the a±ne plane. In particular, such morphisms may be used to remove ...
  • Morphisms and inverse problems for Darboux integrating factors 

    Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian (2013-12)
    Article
    Open Access
    Polynomial vector fields which admit a prescribed Darboux integrat- ing factor are quite well-understood when the geometry of the underlying curve is nondegenerate. In the general setting morphisms of the affine plane ...
  • Some inverse problems 

    Christopher, Colin; Llibre Saló, Jaume; Pantazi, Chara; Walcher, Sebastian (2011-07-06)
    External research report
    Restricted access - publisher's policy
    The Darboux theory of integrability for planar polynomial di®erential equations is a classical ¯eld, with connections to Lie symmetries, di®erential algebra and other areas of mathematics. In the present paper we introduce ...