Achievable connectivities of Fatou components for a family of singular perturbations
In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps present Fatou components of arbitrarily large connectivity and we determine precisel...
| Autores: | , , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2022 |
| 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:2445/192082 |
| Acceso en línea: | https://hdl.handle.net/2445/192082 |
| Access Level: | acceso abierto |
| Palabra clave: | Sistemes dinàmics complexos Pertorbacions singulars (Matemàtica) Funcions meromorfes Funcions de variables complexes Complex dynamical systems Singular perturbations (Mathematics) Meromorphic functions Functions of complex variables |
| Sumario: | In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps present Fatou components of arbitrarily large connectivity and we determine precisely these connectivities. In particular, these results extend the ones obtained in [5,6]. |
|---|