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: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2016 |
| País: | España |
| Institución: | Varias* (Consorci de Biblioteques Universitáries de Catalunya, Centre de Serveis Científics i Acadèmics de Catalunya) |
| Repositorio: | Recercat. Dipósit de la Recerca de Catalunya |
| OAI Identifier: | oai:recercat.cat:2445/118515 |
| Acceso en línea: | https://hdl.handle.net/2445/118515 |
| Access Level: | acceso abierto |
| Palabra clave: | Dinàmica topològica Sistemes dinàmics diferenciables Topological dynamics Differentiable dynamical systems |
| Sumario: | 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. |
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