29

2016

3464-3495

Nonlinearity

PDF

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.

EA 90

1397/10/30

Dashagha

91

11