A computer-assisted proof of universality for area-preserving maps / [electronic resource] J.-P. Eckmann, H. Koch, and P. Wittwer.
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TextSeries: Memoirs of the American Mathematical Society ; no. 289.Publication details: Providence, R.I., USA : American Mathematical Society, c1984Description: 1 online resource (vi, 121 p.)ISBN: 9781470406998 (online)Subject(s): Hamiltonian systems -- Data processing | Mappings (Mathematics) -- Data processing | Error analysis (Mathematics)Additional physical formats: computer-assisted proof of universality for area-preserving maps /DDC classification: 510 s | 514/.7 LOC classification: QA3 | .A57 no. 289 | QA614.83Online resources: Contents | Contents 
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| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12742 |
"January 1984, volume 47, number 289 (first of six numbers)."
Bibliography: p. 121.
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
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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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