Geodesic
From Newton’s method to exotic basins Part I: The parameter space
Fundamenta Mathematicae, Tome 158 (1998) no. 3, pp. 249-288.

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This is the first part of the work studying the family $\mathfrak{F}$ of all rational maps of degree three with two superattracting fixed points. We determine the topological type of the moduli space of $\mathfrak{F}$ and give a detailed study of the subfamily $ℱ_2$ consisting of maps with a critical point which is periodic of period 2. In particular, we describe a parabolic bifurcation in $ℱ_2$ from Newton maps to maps with so-called exotic basins.
DOI : 10.4064/fm-158-3-249-288

Krzysztof Barański 1

1 
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Krzysztof Barański. From Newton’s method to exotic basins Part I: The parameter space. Fundamenta Mathematicae, Tome 158 (1998) no. 3, pp. 249-288. doi : 10.4064/fm-158-3-249-288. http://geodesic.mathdoc.fr/articles/10.4064/fm-158-3-249-288/

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