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Título:	Integrability of a linear center perturbed by a fifth degree homogeneous polynomial
Autor/a:	Chavarriga Soriano, Javier; Giné, Jaume
Notas:	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.
Materia(s):	-Center-focus problem -Integrable systems in the plane -Equacions diferencials
Derechos:	(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997
Tipo de documento:	article publishedVersion
Editor:	Universitat Autònoma de Barcelona. Departament de Matemàtiques
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