dc.contributor.author |
Chavarriga Soriano, Javier |
dc.contributor.author |
Giné, Jaume |
dc.date |
2012-01-26T09:28:31Z |
dc.date |
2012-01-26T09:28:31Z |
dc.date |
1997 |
dc.identifier |
0214-1493 |
dc.identifier |
http://hdl.handle.net/10459.1/44523 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/44523 |
dc.description |
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. |
dc.language |
eng |
dc.publisher |
Universitat Autònoma de Barcelona. Departament de Matemàtiques |
dc.relation |
Reproducció del document publicat a http://dx.doi.org/10.5565/PUBLMAT_41297_02 |
dc.relation |
Reproducció del document publicat a http://ddd.uab.cat/record/52?ln=ca |
dc.relation |
Publicacions matemàtiques, 1997, vol. 41, núm. 2, p. 335-356 |
dc.rights |
(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1997 |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.subject |
Center-focus problem |
dc.subject |
Integrable systems in the plane |
dc.subject |
Equacions diferencials |
dc.title |
Integrability of a linear center perturbed by a fifth degree homogeneous polynomial |
dc.type |
article |
dc.type |
publishedVersion |