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. 
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     author = {Krzysztof Bara\'nski},
     title = {From {Newton{\textquoteright}s} method to exotic basins {Part} {I:} {The} parameter space},
     journal = {Fundamenta Mathematicae},
     pages = {249--288},
     year = {1998},
     volume = {158},
     number = {3},
     doi = {10.4064/fm-158-3-249-288},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-158-3-249-288/}
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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

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