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2022-08

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/192082

Achievable connectivities of Fatou components for a family of singular perturbations

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https://doi.org/10.3934/dcds.2022051

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].

Subject

Sistemes dinàmics complexos, Pertorbacions singulars (Matemàtica), Funcions meromorfes, Funcions de variables complexes

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Complex dynamical systems, Singular perturbations (Mathematics), Meromorphic functions, Functions of complex variables

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Articles publicats en revistes (Matemàtiques i Informàtica)

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CANELA SÁNCHEZ, Jordi, JARQUE I RIBERA, Xavier and PARASCHIV, Dan Alexandru. Achievable connectivities of Fatou components for a family of singular perturbations. Discrete and Continuous Dynamical Systems-Series A. 2022. Vol. 42, num. 9, pags. 4237-4261. ISSN 1078-0947. [consulted: 15 of June of 2026]. Available at: https://hdl.handle.net/2445/192082

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