Tongues in Degree 4 Blaschke Products
Dynamical Systems
2016-10-07 v1
Abstract
The goal of this paper is to investigate the family of Blasche products , 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.
Keywords
Cite
@article{arxiv.1510.07860,
title = {Tongues in Degree 4 Blaschke Products},
author = {Jordi Canela and Núria Fagella and Antonio Garijo},
journal= {arXiv preprint arXiv:1510.07860},
year = {2016}
}