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A computer-assisted proof of universality for area-preserving maps / / J.-P. Eckmann, H. Koch, and P. Wittwer



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Autore: Eckmann Jean Pierre Visualizza persona
Titolo: A computer-assisted proof of universality for area-preserving maps / / J.-P. Eckmann, H. Koch, and P. Wittwer Visualizza cluster
Pubblicazione: Providence, R.I., USA : , : American Mathematical Society, , 1984
Descrizione fisica: 1 online resource (130 p.)
Disciplina: 510 s
514/.7
Soggetto topico: Hamiltonian systems - Data processing
Mappings (Mathematics) - Data processing
Error analysis (Mathematics)
Persona (resp. second.): KochH (Hans)
WittwerP (Peter)
Note generali: "January 1984, volume 47, number 289 (first of six numbers)."
Nota di bibliografia: Bibliography: pages 121.
Nota di contenuto: TABLE OF CONTENTS -- 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 L -- 6. Construction of the doubling operator -- PART II. FUNCTIONAL ANALYSIS ON THE COMPUTER -- 1. Internal and neighborhood arithmetics -- 2. Spectral theory -- 3. Internal and neighborhood arithmetics on a computer -- List of correspondences -- PART III. PROOFS -- 1. Computer program -- 2. Program output -- Table 1REFERENCES.
Titolo autorizzato: A computer-assisted proof of universality for area-preserving maps  Visualizza cluster
ISBN: 1-4704-0699-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910819096203321
Lo trovi qui: Univ. Federico II
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Serie: Memoirs of the American Mathematical Society ; ; no. 289.