| dc.contributor.author |
Chavarriga Soriano, Javier |
| dc.contributor.author |
Giné, Jaume |
| dc.date |
2012-01-25T13:08:55Z |
| dc.date |
2012-01-25T13:08:55Z |
| dc.date |
1996 |
| dc.identifier |
0214-1493 |
| dc.identifier |
http://hdl.handle.net/10459.1/44521 |
| dc.identifier |
https://doi.org/10.5565/PUBLMAT_40196_03 |
| dc.identifier.uri |
http://hdl.handle.net/10459.1/44521 |
| dc.description |
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. |
| dc.language |
eng |
| dc.publisher |
Universitat Autònoma de Barcelona. Departament de Matemàtiques |
| dc.relation |
Reproducció del document publicat a http://ddd.uab.cat/record/52?ln=ca |
| dc.relation |
Reproducció del document publicat a https://doi.org/10.5565/PUBLMAT_40196_03 |
| dc.relation |
Publicacions matemàtiques, 1996, vol. 40, núm. 1, p. 21-39 |
| dc.rights |
(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1996 |
| 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 fourth degree homogeneous polynomial |
| dc.type |
article |
| dc.type |
publishedVersion |
