Showing items related by title, author, creator and subject.

• The problem of distinguishing between a center and a focus for nilpotent and degenerate analytic systems 

  Giacomini, Héctor; Giné, Jaume; Llibre, Jaume (Elsevier, 2006)

  In this work we study the centers of planar analytic vector fields which are limit of linear type centers. It is proved that all the nilpotent centers are limit of linear type centers and consequently the Poincaré–Liapunov ...

• Analytic integrability of some examples of degenerate planar vector fields 

  Algaba, Antonio; García, Cristóbal; Giné, Jaume (Springer, 2016)

  This paper is devoted to the classification of analytic integrable cases of two families of degenerate planar vector fields with a monodromic singular point at the origin. This study falls in the still open degenerate ...

• Analytic integrability inside a family of degenerate centers 

  Algaba, Antonio; Checa, Isabel; García, Cristóbal; Giné, Jaume (Elsevier, 2016)

  In this paper we study the analytic integrability around the origin inside a family of degenerate centers or perturbations of them. For this family analytic integrability does not imply formal orbital equivalence to a ...