Analytically Integrable Centers of Perturbations of Cubic Homogeneous Systems

• Algaba, Antonio ^[1] ; García, Cristóbal ^[1] ; Reyes, Manuel ^[1]
  1. [1] Huelva University
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 2, 2021
• Idioma: inglés
• Enlaces
  • Texto completo
• 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.