Tongues in Degree 4 Blaschke Products
Canela Sánchez, Jordi (Inst. of Math. Polish Academy of Sciences(Poland))
Fagella Rabionet, Núria (Universitat de Barcelona. Departament de Matemàtica Aplicada i Anàlisi)
Garijo, Antoni (Universitat Rovira i Virgili. Departament d'Enginyeria Informàtica i Matemàtiques)

Date:	2016
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.
Grants:	Ministerio de Economía y Competitividad MTM2011-26995-C02-02 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-792 Ministerio de Educación y Ciencia AP2009-4564
Note:	Agraïments: grant 346300 for IMPAN from the Simons Foundation
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Blaschke products ; Circle maps ; Holomorphic dynamics ; Tongues
Published in:	Nonlinearity, Vol. 29 (2016) , p. 3464-3495, ISSN 1361-6544

Postprint 36 p, 2.3 MB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles