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 nilpotent centers as limits of nondegenerate centers revisited 

  García, I. A. (Isaac A.); Giacomini, Héctor; Giné, Jaume; Llibre, Jaume (Elsevier, 2016-04-25)

  We prove that all the nilpotent centers of planar analytic differential systems are limit of centers with purely imaginary eigenvalues, and consequently the Poincaré--Liapunov method to detect centers with purely imaginary ...

• Divergence and Poincare-Liapunov constants for analytic differential systems 

  Grau Montaña, Maite; Llibre, Jaume (Elsevier, 2015)

  We consider a planar autonomous real analytic differential system with a monodromic singular point p. We deal with the center problem for the singular point p. Our aim is to highlight some relations between the divergence ...