Listar por tema "connectivity of Fatou components"
Mostrando ítems 1-3 de 3
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Achievable connectivities of Fatou components for a family of singular perturbations
American Institute of Mathematical Sciences (2022-09)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 ... -
Rational maps with Fatou components of arbitrarily large connectivity
Elsevier (2018-02-02)We study the family of singular perturbations of Blaschke products . We analyse how the connectivity of the Fatou components varies as we move continuously the parameter λ. We prove that all possible escaping configurations ... -
Singular perturbations of Blaschke products and connectivity of Fatou components
American Institute of Mathematical Sciences (AIMS) (2017)The goal of this paper is to study the family of singular perturbations of Blaschke products given by Ba,λ(z)=z3z−a1−a¯z+λz2. We focus on the study of these rational maps for parameters a in the punctured disk D∗ and |λ| ...