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

Date:	1997
Abstract:	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.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Published in:	Publicacions matemàtiques, V. 41 n. 2 (1997) p. 335-356, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/37898
DOI: 10.5565/PUBLMAT_41297_02

22 p, 192.1 KB

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