Singular perturbations of zⁿ with a pole on the unit circle
We consider the family of complex maps given by fλ,a (z) = z n + λ/(z - a)d where n, d ≥ 1 are integers, and a and λ are complex parameters such that a = 1 and is sufficiently small. We focus on the topological characteristics of the Julia and Fatou sets of fλ,a.
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2010 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:226103 |
| Acceso en línea: | https://ddd.uab.cat/record/226103 https://dx.doi.org/urn:doi:10.1080/10236190903257842 |
| Access Level: | acceso abierto |
| Palabra clave: | Rational Map Iteration Julia set Fatou set |
| Sumario: | We consider the family of complex maps given by fλ,a (z) = z n + λ/(z - a)d where n, d ≥ 1 are integers, and a and λ are complex parameters such that a = 1 and is sufficiently small. We focus on the topological characteristics of the Julia and Fatou sets of fλ,a. |
|---|