| dc.creator | Vidal, Claudio | es |
| dc.creator | Gómez, Pedro | es |
| dc.date | 2017-04-24 | |
| dc.date.accessioned | 2025-10-06T15:05:08Z | |
| dc.date.available | 2025-10-06T15:05:08Z | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1479 | |
| dc.identifier | 10.4067/S0716-09172003000300001 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/255575 | |
| dc.description | Our purpose in this paper is to understand the geometry of the Poincaré compactification and to apply this technique to prove that there exists a Poincaré compactification of vector fields defined by rational functions and of vector field that are the quotient of some power of polynomial. We will give also a global expressions for the Poincaré vector field associated. Furthermore, we summarize these results proving that there exist a Poincaré vector field for any vector field whose rate of growth at infinity of each component is not bigger than a polynomial growth. | es |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | en |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1479/1258 | |
| dc.rights | Copyright (c) 2003 Proyecciones. Journal of Mathematics | en |
| dc.source | Proyecciones (Antofagasta); Vol. 22 No. 3 (2003); 161-180 | en |
| dc.source | Proyecciones. Revista de Matemática; Vol. 22 Núm. 3 (2003); 161-180 | es |
| dc.source | 0717-6279 | |
| dc.source | 10.22199/issn.0717-6279-2003 | |
| dc.title | An extension of the poincaré compactification and a geometric interpretation | es |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
