| dc.creator | Vidal, Claudio | |
| dc.creator | Gómez, Pedro | |
| dc.date | 2017-04-24 | |
| dc.identifier | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1479 | |
| dc.identifier | 10.4067/S0716-09172003000300001 | |
| 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-ES |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Universidad Católica del Norte. | en-US |
| dc.relation | https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/1479/1258 | |
| dc.rights | Copyright (c) 2003 Proyecciones. Journal of Mathematics | en-US |
| dc.source | Proyecciones (Antofagasta, On line); Vol. 22 No. 3 (2003); 161-180 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 22 Núm. 3 (2003); 161-180 | es-ES |
| dc.source | 0717-6279 | |
| dc.subject | Poincaré compactification | es-ES |
| dc.subject | Rational vector field | es-ES |
| dc.subject | Equilibrium solutions. | es-ES |
| dc.title | An extension of the poincaré compactification and a geometric interpretation | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Peer-reviewed Article | en-US |
