Author, as appears in the article.: Antonio Garijo; Jordi Canela; Núria Fagella
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: GARIJO REAL, ANTONIO; Jordi Canela; Núria Fagella
Keywords: tongues holomorphic dynamics Blaschke products
Abstract: The goal of this paper is to investigate the family of Blasche products Ba(z) = z3 z-a/1-¿z, 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 afterwards we investigate how bifurcations take place in a neighborhood of their tips. Finally we see how the fixed tongue extends beyond its natural domain of definition.
Research group: Discrete and Continuous Dynamical Systems (DCDYNSYS)
Thematic Areas: Mathematics Matemáticas Matemàtiques
ISSN: 0951-7715
Author identifier: 0000-0002-1503-7514; n/a; 0000-0002-5466-0579
Record's date: 2016-11-10
Last page: 3495
Journal volume: 29
Papper version: info:eu-repo/semantics/submittedVersion
Link to the original source: https://iopscience.iop.org/article/10.1088/0951-7715/29/11/3464
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Article's DOI: 10.1088/0951-7715/29/11/3464
Entity: Universitat Rovira i Virgili
Journal publication year: 2016
First page: 3464
Publication Type: Article Artículo Article