PARABOLIC PERTURBATION IN THE FAMILY

PARABOLIC PERTURBATION IN THE FAMILY

Consider the family of rational maps <IMG SRC="http:/fbpe/img/proy/v21n1/for01.jpg" WIDTH=472 HEIGHT=38>and the hyperboliccomponent A1 = f w : fw has an attracting fixed point g : We prove that <IMG SRC="http:/fbpe/img/proy/v21n1/for02.jpg" WIDTH=202 HEIGHT=23>iparabo...

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Autor principal: BOBENRIETH,JUAN
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2002
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000100001
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spelling oai:scielo:S0716-091720020001000012002-11-29PARABOLIC PERTURBATION IN THE FAMILY BOBENRIETH,JUANConsider the family of rational maps <IMG SRC="http:/fbpe/img/proy/v21n1/for01.jpg" WIDTH=472 HEIGHT=38>and the hyperboliccomponent A1 = f w : fw has an attracting fixed point g : We prove that <IMG SRC="http:/fbpe/img/proy/v21n1/for02.jpg" WIDTH=202 HEIGHT=23>iparabolic parameter with corre-sponding multiplier a primitive <IMG SRC="http:/fbpe/img/proy/v21n1/for03.jpg" WIDTH=298 HEIGHT=24>there exists a hyperbolic component Wq; attached to A1 at the point w0; which contains w ¡ values for which fw has an at-tracting periodic cycle of period q. 1991 Mathematics Subject Classification : Primary 30D05, 58F23info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.21 n.1 20022002-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000100001en10.4067/S0716-09172002000100001
institution Scielo Chile
collection Scielo Chile
language English
description Consider the family of rational maps <IMG SRC="http:/fbpe/img/proy/v21n1/for01.jpg" WIDTH=472 HEIGHT=38>and the hyperboliccomponent A1 = f w : fw has an attracting fixed point g : We prove that <IMG SRC="http:/fbpe/img/proy/v21n1/for02.jpg" WIDTH=202 HEIGHT=23>iparabolic parameter with corre-sponding multiplier a primitive <IMG SRC="http:/fbpe/img/proy/v21n1/for03.jpg" WIDTH=298 HEIGHT=24>there exists a hyperbolic component Wq; attached to A1 at the point w0; which contains w ¡ values for which fw has an at-tracting periodic cycle of period q. 1991 Mathematics Subject Classification : Primary 30D05, 58F23
author BOBENRIETH,JUAN
spellingShingle BOBENRIETH,JUAN
PARABOLIC PERTURBATION IN THE FAMILY
author_facet BOBENRIETH,JUAN
author_sort BOBENRIETH,JUAN
title PARABOLIC PERTURBATION IN THE FAMILY
title_short PARABOLIC PERTURBATION IN THE FAMILY
title_full PARABOLIC PERTURBATION IN THE FAMILY
title_fullStr PARABOLIC PERTURBATION IN THE FAMILY
title_full_unstemmed PARABOLIC PERTURBATION IN THE FAMILY
title_sort parabolic perturbation in the family
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2002
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000100001
work_keys_str_mv AT bobenriethjuan parabolicperturbationinthefamily
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