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A computer-assisted proof of universality for area-preserving maps /
| Cote: | Libro Electrónico |
|---|---|
| Auteur principal: | |
| Autres auteurs: | , |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Providence, R.I., USA :
American Mathematical Society,
©1984.
|
| Collection: | Memoirs of the American Mathematical Society ;
no. 289. |
| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- Introduction Part I. Analysis of doubling 1. Feigenbaum universality for area-preserving maps 2. Generating functions 3. Further reduction of the problem 4. Spectral properties 5. Construction of the operator $\mathcal {L}$ 6. Construction of the doubling operator Part II. Functional analysis on the computer 1. Interval and neighborhood arithmetics 2. Spectral theory 3. Interval and neighborhood arithmetics on a computer List of correspondence Part III. Proofs 1. Computer program 2. Program output.