AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION

Our 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 al...

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Autores principales:	VIDAL,CLAUDIO, GÓMEZ,PEDRO
Lenguaje:	English
Publicado:	Universidad Católica del Norte, Departamento de Matemáticas 2003
Materias:	Poincaré compactifcation rational vector feld equilibrium solutions
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000300001
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spelling	oai:scielo:S0716-091720030003000012004-03-03AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATIONVIDAL,CLAUDIOGÓMEZ,PEDRO Poincaré compactifcation rational vector feld equilibrium solutions Our 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.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.22 n.3 20032003-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000300001en10.4067/S0716-09172003000300001
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	Poincaré compactifcation rational vector feld equilibrium solutions
spellingShingle	Poincaré compactifcation rational vector feld equilibrium solutions VIDAL,CLAUDIO GÓMEZ,PEDRO AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION
description	Our 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.
author	VIDAL,CLAUDIO GÓMEZ,PEDRO
author_facet	VIDAL,CLAUDIO GÓMEZ,PEDRO
author_sort	VIDAL,CLAUDIO
title	AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION
title_short	AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION
title_full	AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION
title_fullStr	AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION
title_full_unstemmed	AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION
title_sort	extension of the poincaré compactification and a geometric interpretation
publisher	Universidad Católica del Norte, Departamento de Matemáticas
publishDate	2003
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172003000300001
work_keys_str_mv	AT vidalclaudio anextensionofthepoincarecompactificationandageometricinterpretation AT gomezpedro anextensionofthepoincarecompactificationandageometricinterpretation AT vidalclaudio extensionofthepoincarecompactificationandageometricinterpretation AT gomezpedro extensionofthepoincarecompactificationandageometricinterpretation
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AN EXTENSION OF THE POINCARÉ COMPACTIFICATION AND A GEOMETRIC INTERPRETATION

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