Integrability of a linear center perturbed by a fourth degree homogeneous polynomial
Chavarriga Soriano, Javier (Universitat de Lleida. Departament de Matemàtica)
Giné, Jaume (Universitat de Lleida. Departament de Matemàtica)

Date:	1996
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions matemàtiques, Vol. 40, Núm. 1 (1996) , p. 21-39, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37850
DOI: 10.5565/PUBLMAT_40196_03

19 p, 168.9 KB

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