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A Computer-Assisted Proof of Universality for Area-Preserving Maps
Jean-Pierre Eckmann, Hans Koch, and Peter Wittwer

Memoirs of the American Mathematical Society
1984; 121 pp; softcover
Volume: 47
ISBN-10: 0-8218-2289-6
ISBN-13: 978-0-8218-2289-0
List Price: US$24
Individual Members: US$14.40
Institutional Members: US$19.20
Order Code: MEMO/47/289
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Table of Contents

I. Analysis of doubling
  • Feigenbaum universality for area-preserving maps
  • Generating functions
  • Further reduction of the problem
  • Spectral properties
  • Constructions of the operator \(L\)
  • Construction of the doubling operator
II. Functional analysis on the computer
  • Interval and neighborhood arithmetics
  • Spectral theory
  • Interval and neighborhood arithmetics on a computer
  • List of correspondences
III. Proofs
  • Computer program
  • Program output
  • Table 1
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