Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems

  1. Algaba, Antonio 1
  2. García, Cristóbal 1
  3. Reyes, Manuel 1
  1. 1 Universidad de Huelva
    info

    Universidad de Huelva

    Huelva, España

    ROR https://ror.org/03a1kt624

Revista:
Qualitative theory of dynamical systems

ISSN: 1575-5460

Año de publicación: 2021

Volumen: 20

Número: 2

Tipo: Artículo

DOI: 10.1007/S12346-021-00479-5 DIALNET GOOGLE SCHOLAR lock_openAcceso abierto editor

Otras publicaciones en: Qualitative theory of dynamical systems

Resumen

We consider the analytically integrable perturbations of cubic homogeneous differential systems whose origin is an isolated singularity. We prove that are orbitally equivalent to the cubic vector field associated. We also characterize the analytically integrable centers. We apply the results to two families of degenerate vector fields.

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