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http://hdl.handle.net/10662/17440
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| Campo DC | Valor | idioma |
|---|---|---|
| dc.contributor.author | Llibre, Jaume | - |
| dc.contributor.author | Gomes Pessoa, Claudio | - |
| dc.date.accessioned | 2023-05-09T07:43:41Z | - |
| dc.date.available | 2023-05-09T07:43:41Z | - |
| dc.date.issued | 2006 | - |
| dc.identifier.issn | 0213-8743 | - |
| dc.identifier.uri | http://hdl.handle.net/10662/17440 | - |
| dc.description.abstract | Let X be a homogeneous polynomial vector field of degree 2 on 𝕊² having finitely many invariant circles. Then, we prove that each invariant circle is a great circle of 𝕊², and at most there are two invariant circles. We characterize the global phase portrait of these vector ¯elds. Moreover, we show that if X has at least an invariant circle then it does not have limit cycles. | es_ES |
| dc.description.sponsorship | The authors are partially supported by a MCYT grant MTM2005{06098{C02{01 and by a CIRIT grant number 2005SGR00550. | es_ES |
| dc.format.extent | 24 p. | es_ES |
| dc.format.mimetype | application/pdf | en_US |
| dc.language.iso | eng | es_ES |
| dc.publisher | Universidad de Extremadura, Servicio de Publicaciones | es_ES |
| dc.rights | Attribution-NonCommercial 4.0 International | * |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ | * |
| dc.subject | Círculo invariante | es_ES |
| dc.subject | Círculo máximo invariante | es_ES |
| dc.subject | Campo vectorial polinomial | es_ES |
| dc.subject | Invariant circle | es_ES |
| dc.subject | Invariant great circle | es_ES |
| dc.subject | Polynomial vector field | es_ES |
| dc.title | Homogeneous polynomial vector fields of degree 2 on the 2―dimensional sphere | es_ES |
| dc.type | article | es_ES |
| dc.description.version | peerReviewed | es_ES |
| europeana.type | TEXT | en_US |
| dc.rights.accessRights | openAccess | es_ES |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | es_ES |
| dc.subject.unesco | 1202.12 Análisis Global | es_ES |
| europeana.dataProvider | Universidad de Extremadura. España | es_ES |
| dc.identifier.bibliographicCitation | LLIBRE, J. y GOMES PESSOA, C. (2006). Homogeneous polynomial vector fields of degree 2 on the 2―dimensional sphere. Extracta Mathematicae, 21 (2), 167-190. E-ISSN 2605-5686 | es_ES |
| dc.type.version | publishedVersion | es_ES |
| dc.contributor.affiliation | Universitat Autònoma de Barcelona | es_ES |
| dc.identifier.publicationtitle | Extracta Mathematicae | es_ES |
| dc.identifier.publicationissue | 2 | es_ES |
| dc.identifier.publicationfirstpage | 167 | es_ES |
| dc.identifier.publicationlastpage | 190 | es_ES |
| dc.identifier.publicationvolume | 21 | es_ES |
| Colección: | Extracta Mathematicae Vol. 21, nº 2 (2006) | |
Archivos
| Archivo | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| 2605-5686_21_2_167.pdf | 266,07 kB | Adobe PDF | Descargar | |
| 2605-5686_21_2_167_Abstract.pdf | 91,11 kB | Adobe PDF | Descargar |
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