Title:
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Integrability of a linear center perturbed by a fourth degree homogeneous polynomial
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Author:
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Chavarriga Soriano, Javier; Giné, Jaume
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Notes:
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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. |
Subject(s):
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-Center-focus problem -Integrable systems in the plane -Equacions diferencials |
Rights:
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(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1996
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Document type:
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article publishedVersion |
Published by:
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Universitat Autònoma de Barcelona. Departament de Matemàtiques
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