Integrability of a linear center perturbed by a fourth degree homogeneous polynomial

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Issue date
1996
Author
Chavarriga Soriano, Javier
Giné, Jaume
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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.
URI
http://hdl.handle.net/10459.1/44521
DOI
https://doi.org/10.5565/PUBLMAT_40196_03
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Publicacions matemàtiques, 1996, vol. 40, núm. 1, p. 21-39
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