Integrability of a linear center perturbed by a fifth degree homogeneous polynomial
- Giné Mesa, Jaume
- Chavarriga Soriano, Javier
ISSN: 0214-1493
Año de publicación: 1997
Volumen: 41
Número: 2
Páginas: 335-356
Tipo: Artículo
Otras publicaciones en: Publicacions matematiques
Resumen
In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation for the integrable cases in polar coordinates. Finally we formulate a conjecture about the independence of the two classes of parameters which appear on the system; if this conjecture is true the integrable cases found will be the only possible ones.