ACHIEVABLE CONNECTIVITIES OF FATOU COMPONENTS FOR A FAMILY OF SINGULAR PERTURBATIONS

Canela Jordi; Jarque Xavier; Paraschiv Dan

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ACHIEVABLE CONNECTIVITIES OF FATOU COMPONENTS FOR A FAMILY OF SINGULAR PERTURBATIONS

机译：ACHIEVABLE CONNECTIVITIES OF FATOU COMPONENTS FOR A FAMILY OF SINGULAR PERTURBATIONS

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摘要

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.

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来源
《Discrete and continuous dynamical systems》 |2022年第9期|4237-4261|共25页
作者
Canela Jordi; Jarque Xavier; Paraschiv Dan;
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作者单位

Univ Barcelona;

Barcelona Grad Sch Math;

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原文格式 PDF
正文语种英语
中图分类理论力学（一般力学）;
关键词
Holomorphic dynamics; Fatou and Julia sets; rational maps; singular perturbation; connectivity of Fatou components; DYNAMICS;

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ACHIEVABLE CONNECTIVITIES OF FATOU COMPONENTS FOR A FAMILY OF SINGULAR PERTURBATIONS

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