Home > Articles > Published articles > Tongues in Degree 4 Blaschke Products |
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 |