Tongues in degree 4 Blaschke products
The goal of this paper is to investigate the family of Blasche products B_a , 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 bif...
| Autores: | , , |
|---|---|
| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Recursos: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/118515 |
| Acesso em linha: | https://hdl.handle.net/2445/118515 |
| Access Level: | acceso abierto |
| Palavra-chave: | Dinàmica topològica Sistemes dinàmics diferenciables Topological dynamics Differentiable dynamical systems |
| Resumo: | The goal of this paper is to investigate the family of Blasche products B_a , 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. |
|---|