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Página principal > Artículos > Artículos publicados > Achievable connectivities of Fatou components for a family of singular perturbations |
Fecha: | 2022 |
Resumen: | 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]. |
Ayudas: | Ministerio de Economía y Competitividad MDM-2014-0445 Agencia Estatal de Investigación MTM-2017-86795-C3-2-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1374 |
Nota: | Altres ajuts: BGSMath Banco de Santander Postdoctoral 2017, the project UJI-B2019-18 from Universitat Jaume I and Spanish government grant FPI PRE2018-086831 |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Holomorphic dynamics ; Fatou and Julia sets ; Rational maps ; Singular perturbation ; Connectivity of Fatou components |
Publicado en: | Discrete and continuous dynamical systems. Series A, Vol. 42, Issue 9 (September 2022) , p. 4237-4261, ISSN 1553-5231 |
Postprint 25 p, 1.5 MB |