Articles producció científica> Enginyeria Informàtica i Matemàtiques

Tongues in degree 4 Blaschke products

  • Identification data

    Identifier: PC:1941
    Authors:
    Antonio GarijoJordi CanelaNúria Fagella
    Abstract:
    Filiació URV: SIInclòs a a memòria: SI
  • Others:

    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
  • Keywords:

    Sistemes dinàmics diferenciables
    Funcions de variables complexes
    tongues
    holomorphic dynamics
    Blaschke products
    Mathematics
    Matemáticas
    Matemàtiques
    0951-7715
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