Newton's method applied to two quadratic equations in C[superscript 2] viewed as a global dynamical system / / John H. Hubbard, Peter Papadopol
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| Autore: |
Hubbard John H (John Hamal), <1945 or 1946->
|
| Titolo: |
Newton's method applied to two quadratic equations in C[superscript 2] viewed as a global dynamical system / / John H. Hubbard, Peter Papadopol
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| ©2008 | |
| Descrizione fisica: | 1 online resource (160 p.) |
| Disciplina: | 515/.39 |
| Soggetto topico: | Newton-Raphson method |
| Equations, Quadratic | |
| Differentiable dynamical systems | |
| Persona (resp. second.): | PapadopolPeter <1931-> |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Table of Contents""; ""Chapter 0 Introduction""; ""1. Introduction""; ""2. Outline of paper""; ""3. Acknowledgements""; ""4. A computer tour of Newton's method""; ""5. Some open questions""; ""Chapter 1 Fundamental properties of Newton maps""; ""1.1. Generalities about Newton's method""; ""1.2. The intersection of graphs""; ""1.3. The Russakovskii-Shiffman measure""; ""1.4. Invariant currents""; ""1.5. The intersection of conies""; ""1.6. Degenerate cases""; ""1.7. The one-variable rational functions associated to the roots"" |
| ""Chapter 2 Invariant 3-manifolds associated to invariant circles""""2.1. The circles in the invariant lines""; ""2.2. Periodic cycles on invariant circles""; ""2.3. Unstable manifolds at infinity""; ""2.4. The invariant manifolds of circles""; ""2.5. The extension of Î? and the origin of ""bubbles""""; ""Chapter 3 The behavior at infinity when a = b = 0""; ""3.1. The primitive space""; ""3.2. Newton's method and the primitive space""; ""Chapter 4 The Farey blow-up""; ""4.1. Definition of the Farey blow-up""; ""4.2. Naturality of the Farey blow-up"" | |
| Titolo autorizzato: | Newton's method applied to two quadratic equations in C viewed as a global dynamical system |
| ISBN: | 1-4704-0497-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910812438203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; no. 891.