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

• The Hopf cyclicity of the centers of a class of quintic polynomial vector fields 

  García, I. A. (Isaac A.); Llibre, Jaume; Maza Sabido, Susanna (Elsevier, 2015-01-20)

  We consider families of planar polynomial vector fields having a singularity with purely imaginary eigenvalues for which a basis of its Bautin ideal B is known. We provide an algorithm for computing an upper bound of the ...

• Period annulus of the harmonic oscillator with zero cyclicity under perturbations with a homogeneous polynomial field 

  García, I. A. (Isaac A.); Maza Sabido, Susanna (Bolyai Institute. University of SzegedHungarian Academy of Sciences, 2019-01-14)

  In this work we prove, using averaging theory at any order in the small perturbation parameter, that the period annulus of the harmonic oscillator has cyclicity zero (no limit cycles bifurcate) when it is perturbed by any ...

• 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 ...