Integrability of a linear center perturbed by a fourth degree homogeneous polynomial
| dc.contributor.author | Chavarriga Soriano, Javier | |
| dc.contributor.author | Giné, Jaume | |
| dc.date.accessioned | 2012-01-25T13:08:55Z | |
| dc.date.available | 2012-01-25T13:08:55Z | |
| dc.date.issued | 1996 | |
| dc.description.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. | ca_ES |
| dc.identifier.doi | https://doi.org/10.5565/PUBLMAT_40196_03 | |
| dc.identifier.idgrec | 002274 | |
| dc.identifier.issn | 0214-1493 | |
| dc.identifier.uri | http://hdl.handle.net/10459.1/44521 | |
| dc.language.iso | eng | ca_ES |
| dc.publisher | Universitat Autònoma de Barcelona. Departament de Matemàtiques | ca_ES |
| dc.relation.isformatof | Reproducció del document publicat a http://ddd.uab.cat/record/52?ln=ca | |
| dc.relation.isformatof | Reproducció del document publicat a https://doi.org/10.5565/PUBLMAT_40196_03 | ca_ES |
| dc.relation.ispartof | Publicacions matemàtiques, 1996, vol. 40, núm. 1, p. 21-39 | ca_ES |
| dc.rights | (c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 1996 | ca_ES |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Center-focus problem | ca_ES |
| dc.subject | Integrable systems in the plane | ca_ES |
| dc.subject.other | Equacions diferencials | ca_ES |
| dc.title | Integrability of a linear center perturbed by a fourth degree homogeneous polynomial | ca_ES |
| dc.type | article | ca_ES |
| dc.type.version | publishedVersion | ca_ES |