Parabolic perturbation in the family z →1 + 1=wzᵈ

dc.creator	Bobenrieth, Juan
dc.date	2017-05-22
dc.identifier	http://www.revistaproyecciones.cl/article/view/1584
dc.identifier	10.4067/S0716-09172002000100001
dc.description	Consider the family of rational mapsFd = {z→ fw(z) =1+ : w ∈ C\{0}} (d ∈ N, d ≥ 2)and the hyperbolic component A₁ = {w : fw has an attracting fixed point}. We prove that if w₀ ∈ ∂A₁ is a parabolic parameter with corresponding multiplier a primitive q-th root of unity, q ≥ 2; then there exists a hyperbolic component Wq; attached to A₁ at the point w₀; which contains w-values for which fw has an attracting periodic cycle of period q.	es-ES
dc.format	application/pdf
dc.language	spa
dc.publisher	Universidad Católica del Norte.	es-ES
dc.relation	http://www.revistaproyecciones.cl/article/view/1584/2047
dc.rights	Derechos de autor 2002 Proyecciones. Journal of Mathematics	es-ES
dc.source	Proyecciones. Journal of Mathematics; Vol 21 No 1 (2002); 1-7	en-US
dc.source	Proyecciones. Revista de Matemática; Vol. 21 Núm. 1 (2002); 1-7	es-ES
dc.source	0717-6279
dc.source	0716-0917
dc.title	Parabolic perturbation in the family z →1 + 1=wzᵈ	es-ES
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	Artículo revisado por pares	es-ES