Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/17440
| Títulos: | Homogeneous polynomial vector fields of degree 2 on the 2―dimensional sphere |
| Autores/as: | Llibre, Jaume Gomes Pessoa, Claudio |
| Palabras clave: | Círculo invariante;Círculo máximo invariante;Campo vectorial polinomial;Invariant circle;Invariant great circle;Polynomial vector field |
| Fecha de publicación: | 2006 |
| Editor/a: | Universidad de Extremadura, Servicio de Publicaciones |
| Resumen: | 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. |
| URI: | http://hdl.handle.net/10662/17440 |
| ISSN: | 0213-8743 |
| 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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