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Integrability of a linear center perturbed by a fourth degree homogeneous polynomial
Chavarriga Soriano, Javier; Giné, Jaume
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.
-Center-focus problem
-Integrable systems in the plane
-Equacions diferencials
(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1996
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Universitat Autònoma de Barcelona. Departament de Matemàtiques
         

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