Tongues in Degree 4 Blaschke Products

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dc.contributor.author	Canela Sánchez, Jordi
dc.contributor.author	Fagella Rabionet, Núria
dc.contributor.author	Garijo, Antoni
dc.date	2016
dc.identifier	https://ddd.uab.cat/record/169486
dc.identifier	urn:oai:ddd.uab.cat:169486
dc.identifier	urn:gsduab:4383
dc.identifier	urn:articleid:13616544v29p3464
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	Ministerio de Economía y Competitividad MTM2011-26995-C02-02
dc.relation	Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-792
dc.relation	Ministerio de Educación y Ciencia AP2009-4564
dc.relation	Nonlinearity ; Vol. 29 (2016), p. 3464-3495
dc.rights	open access
dc.rights	Tots els drets reservats.
dc.rights	https://rightsstatements.org/vocab/InC/1.0/
dc.subject	Blaschke products
dc.subject	Circle maps
dc.subject	Holomorphic dynamics
dc.subject	Tongues
dc.title	Tongues in Degree 4 Blaschke Products
dc.type	Article
dc.description.abstract	Agraïments: grant 346300 for IMPAN from the Simons Foundation
dc.description.abstract	The goal of this paper is to investigate the family of Blasche products B_a(z)=z^3-a1- which is a rational family of perturbations of the doubling map. We focus on the tongue-like sets which appear in its parameter plane. We first study their basic topological properties and afterwords we investigate how bifurcations take place in a neighborhood of their tips. Finally we see how the period one tongue extends beyond its natural domain of definition.

Canela Sánchez, Jordi; Fagella Rabionet, Núria; Garijo, Antoni

Campos, Beatriz; Canela Sánchez, Jordi; Garijo, Antoni; Vindel, Pura

Canela Sánchez, Jordi; Fagella Rabionet, Núria; Garijo Real, Antonio

Canela Sánchez, Jordi; Fagella Rabionet, Núria; Garijo Real, Antonio

Canela Sánchez, Jordi; Alsedà i Soler, Lluís; Fagella Rabionet, Núria; Sardanyés, Josep

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