|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910819096203321 |
|
|
Autore |
Eckmann Jean Pierre |
|
|
Titolo |
A computer-assisted proof of universality for area-preserving maps / / J.-P. Eckmann, H. Koch, and P. Wittwer |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Providence, R.I., USA : , : American Mathematical Society, , 1984 |
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (130 p.) |
|
|
|
|
|
|
Collana |
|
Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 289 (Jan. 1984) |
|
|
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
|
|
Soggetti |
|
Hamiltonian systems - Data processing |
Mappings (Mathematics) - Data processing |
Error analysis (Mathematics) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
"January 1984, volume 47, number 289 (first of six numbers)." |
|
|
|
|
|
|
Nota di bibliografia |
|
|
|
|
|
|
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. |
|
|
|
|
|
|
|