Connected McMullen-like Julia sets in a Chebyshev-Halley Family

In this paper we study a one parameter family of rational maps obtained by applying the Chebyshev-Halley root finding algorithms. We show that the dynamics near parameters where the family presents some degeneracy might be understood from the point of view of singular perturbations. More precisely,...

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Hauptverfasser:	Canela, Jordi, Garijo, Antonio, Roesch, Pascale
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems
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