Integrability of a linear center perturbed by a fourth degree homogeneous polynomial

Autores: Jaume Giné Mesa , Javier Chavarriga Soriano
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 40, Nº 1, 1996, págs. 21-39
Idioma: inglés
DOI: 10.5565/publmat_40196_03
Títulos paralelos:
- Integrabilidad de un centro lineal con perturbación por un polinomio homogéneo de cuarto grado
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Resumen
- In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.