• Volume
    29
  • Year
    2016
  • Page
    3464-3495
  • Source
    Nonlinearity
  • Format Published
    PDF
  • Descriptors

    holomorphic dynamics , Blaschke products , circle maps , tongues

  • Abstract
    The goal of this paper is to investigate the family of Blasche products ( ) ¯ = − − Ba z z z a az 3 1 , 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.
  • Call. No.
    EA 90
  • IndexDate
    1397/10/30
  • Indexer
    Dashagha
  • Title of Article

    Tongues in degree 4 Blaschke products

  • RecordNumber
    91
  • Issue/Number
    11
  • Author/Authors

    Canela, Jordi , Fagella, Núria , Garijo, Antonio

    • Link To Document
    https://library.iut.ac.ir/dl/search/default.aspx?Term=91&Field=0&DTC=150