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AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION

dc.creatorVIDAL,CLAUDIO
dc.creatorGÓMEZ,PEDRO
dc.date2003-12-01
dc.date.accessioned2020-02-17T15:31:27Z
dc.date.available2020-02-17T15:31:27Z
dc.identifierhttps://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000300001
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/129645
dc.descriptionOur purpose in this paper is to understand the geometry of the Poincaré compactifcation and to apply this technique to prove that there exists a Poincaré compactifcation of vector felds defned by rational functions and of vector feld that are the quotient of some power of polynomial. We will give also a global expressions for the Poincaré vector feld associated. Furthermore, we summarize these results proving that there exist a Poincaré vector feld for any vector feld whose rate of growth at infnity of each component is not bigger than a polynomial growth.
dc.formattext/html
dc.languageen
dc.publisherUniversidad Católica del Norte, Departamento de Matemáticas
dc.relation10.4067/S0716-09172003000300001
dc.rightsinfo:eu-repo/semantics/openAccess
dc.sourceProyecciones (Antofagasta) v.22 n.3 2003
dc.subjectPoincaré compactifcation
dc.subjectrational vector feld
dc.subjectequilibrium solutions
dc.titleAN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION


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