Differential Galois theory and non-integrability of Hamiltonian systems /

Differential Galois theory and non-integrability of Hamiltonian systems /

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Bibliographic Details
Author / Creator:Morales Ruiz, Juan J. (Juan José), 1953-
Imprint:Basel ; Boston : Birkhäuser, c1999.
Description:xiv, 165 p. : ill. ; 24 cm.
Language:English
Series:Progress in mathematics ; v. 179
Progress in mathematics (Boston, Mass.) ; vol. 179.
Subject:
Differential algebra.
Galois theory.
Hamiltonian systems.
Differential algebra.
Galois theory.
Hamiltonian systems.
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4255844
Hidden Bibliographic Details
ISBN:376436078X (acid-free paper)
081766078X (Boston : acid-free paper)
Notes:Includes bibliographical references (p. [159]-165) and index.
Table of Contents:
  • 1. Introduction
  • 2. Differential Galois Theory
  • 3. Hamiltonian Systems
  • 4. Non-integrability Theorems
  • 5. Three Models
  • 6. An Application of the Lame Equation
  • 7. A Connection with Chaotic Dynamics
  • 8. Complementary Results and Conjectures
  • A. Meromorphic Bundles
  • B. Galois Groups and Finite Coverings
  • C. Connections with Structure Group.

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