Puzzles and the Fatou-Shishikura injection for rational Newton maps

We establish a principle that we call the Fatou-Shishikura injection for Newton maps of polynomials: there is a dynamically natural injection from the set of non-repelling periodic orbits of any Newton map to the set of its critical orbits. This injection obviously implies the classical Fatou-Shishi...

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Hauptverfasser:	Drach, Kostiantyn, Lodge, Russell, Schleicher, Dierk, Sowinski, Maik
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Dynamical Systems
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