From Newton’s method to exotic basins Part I: The parameter space

• Autorzy: Krzysztof Barański
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1998
• Tom: 158
• Numer: 3
• Strony: 249-288

Daty

wydano

1998

otrzymano

1997-12-01

poprawiono

1998-07-07

Twórcy

autor

Krzysztof Barański

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

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