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: | |
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| Lenguaje: | English |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2002
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172002000100001 |
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| Sumario: | 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 |
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