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A computer-assisted proof of universality for area-preserving maps /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Eckmann, Jean Pierre
Otros Autores: Koch, H. (Hans), Wittwer, P. (Peter)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, R.I., USA : American Mathematical Society, ©1984.
Colección:Memoirs of the American Mathematical Society ; no. 289.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.