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Newton’s method applied to two quadratic equations in $\Bbb C^{2}$ viewed as a global dynamical system
About this Title
John H. Hubbard and Peter Papadopol
Publication: Memoirs of the American Mathematical Society
Publication Year:
2008; Volume 191, Number 891
ISBNs: 978-0-8218-4056-6 (print); 978-1-4704-0497-0 (online)
DOI: https://doi.org/10.1090/memo/0891
MathSciNet review: 2376103
MSC: Primary 37F10; Secondary 32H50, 37N40, 65P99
Table of Contents
Chapters
- 0. Introduction
- 1. Fundamental properties of Newton maps
- 2. Invariant 3-manifolds associated to invariant circles
- 3. The behavior at infinity when $a$ = $b$ = 0
- 4. The Farey blow-up
- 5. The compactification when $a$ = $b$ = 0
- 6. The case where $a$ and $b$ are arbitrary