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http://hdl.handle.net/2445/192082| Title: | Achievable connectivities of Fatou components for a family of singular perturbations |
| Author: | Canela Sánchez, Jordi Jarque i Ribera, Xavier Paraschiv, Dan |
| Keywords: | Sistemes dinàmics complexos Pertorbacions singulars (Matemàtica) Funcions meromorfes Funcions de variables complexes Complex dynamical systems Singular perturbations (Mathematics) Meromorphic functions Functions of complex variables |
| Issue Date: | Aug-2022 |
| Publisher: | American Institute of Mathematical Sciences (AIMS) |
| Abstract: | 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]. |
| Note: | Versió postprint del document publicat a: https://doi.org/10.3934/dcds.2022051 |
| It is part of: | Discrete and Continuous Dynamical Systems-Series A, 2022, vol. 42, num. 9, p. 4237-4261 |
| URI: | http://hdl.handle.net/2445/192082 |
| Related resource: | https://doi.org/10.3934/dcds.2022051 |
| ISSN: | 1078-0947 |
| Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| 727871.pdf | 1.59 MB | Adobe PDF | View/Open |
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