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Birkhäuser

Seminar on Dynamical Systems

Euler International Mathematical Institute, St. Petersburg, 1991

  • Book
  • © 1994

Overview

Editors:
  1. S. Kuksin

    1. Mathematik, ETH Zentrum, Zürich, Switzerland

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  2. V. Lazutkin

    1. Euler International Mathematical Institute, St. Petersburg, Russia

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    You can also search for this editor in PubMed   Google Scholar

  3. J. Pöschel

    1. Mathematik, Universität Bonn, Bonn, Germany

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Part of the book series: Progress in Nonlinear Differential Equations and Their Applications (PNLDE, volume 12)

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Table of contents (22 chapters)

  1. Front Matter

    Pages i-ix
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  2. KAM theory and related topics

    1. Front Matter

      Pages 1-1
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    2. The Dynamical Foundations of Classical Statistical Mechanics and the Boltzmann-Jeans Conjecture

      • Giancarlo Benettin, Luigi Galgani, Antonio Giorgilli
      Pages 3-14

    3. Stability of Nearly Integrable Convex Hamiltonian Systems Over Exponentially Long Times

      • P. Lochak, A. I. Neistadt, L. Niederman
      Pages 15-34

    4. On the Stability Problem for Nearly-Integrable Hamiltonian Systems

      • Luigi Chierchia
      Pages 35-46

    5. Separatrices Splitting for the Rapidly Forced Pendulum

      • V. G. Gelfreich
      Pages 47-67

    6. Exponentially Small Expressions for Separatrix Splittings

      • Amadeu Delshams, Tere M. Seara
      Pages 68-80

    7. An Unusual Variational Problem Connected with Mather’s Theory for Monotone Twist Mappings

      • Jürgen Moser
      Pages 81-89

    8. Periodic Metrics

      • D. Burago
      Pages 90-95

    9. On the Inclusion of Analytic Symplectic Maps in Analytic Hamiltonian Flows and Its Applications

      • Sergei Kuksin, Jürgen Pöschel
      Pages 96-116

    10. Poincaré Compactification of the Kepler and the Collinear Three Body Problems

      • J. Delgado, E. A. Lacomba, J. Llibre, E. Pérez
      Pages 117-128

    11. A Note on the Existence of Heteroclinic Orbits in the Planar Three-Body Problem

      • Regina Martínez, Carles Simó
      Pages 129-139

    12. Kam Tori for Modulated Symplectic Maps

      • Armando Bazzani
      Pages 140-153

    13. Analyticty of Normalizing Transformations for Area Preserving Maps

      • A. Bazzani, G. Turchetti
      Pages 154-159

    14. On the Frequencies of Quasi Periodic Solutions of Analytic Nearly Integrable Hamiltonian Systems

      • Helmut Rüssmann
      Pages 160-183

    15. New Results in the Reversible Kam Theory

      • Mikhail B. Sevryuk
      Pages 184-199

  3. Infinite dimensional dynamical systems

    1. Front Matter

      Pages 201-201
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    2. Maximal Almost-Periodic Solutions for Lagrangian Equations on Infinite Dimensional Tori

      • Luigi Chierchia, Paolo Perfetti
      Pages 203-212

    3. Nonpersistence of Breather Solutions under Perturbation of the Sine-Gordon Equation

      • Jochen Denzler
      Pages 213-224

  4. Miscellania

    1. Front Matter

      Pages 225-225
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Keywords

About this book

The "Dynamical Systems Semester" took place at the Euler International Mathematical Institute in St. Petersburg, Russia, in the autumn of 1991. There were two workshops, October 14-25 and November 18-29, with more than 60 participants giving 70 talks. The titles of all talks are given at the end of this volume. Here we included 22 papers prepared by the authors especially for this volume, while the material of the other talks are published elsewhere. The semester was sponsored by the Soviet Academy of Sciences and UN­ ESCO. Since the new building of the Euler Institute was not ready at that moment, the sessions were held in the old building of the Steklov Mathemati­ cal Institute in the very center of St. Petersburg. Members of the staff of the Euler Institute were doing their best to organize properly the normal processing of the conference-not a simple task at that time because of the complications in the political and economical life in Russia just between the coup d'etat in August and the dismantling of the Soviet Union in December. We are thankful to all of them.

Editors and Affiliations

  • Mathematik, ETH Zentrum, Zürich, Switzerland

    S. Kuksin

  • Euler International Mathematical Institute, St. Petersburg, Russia

    V. Lazutkin

  • Mathematik, Universität Bonn, Bonn, Germany

    J. Pöschel

Bibliographic Information

  • Book Title: Seminar on Dynamical Systems

  • Book Subtitle: Euler International Mathematical Institute, St. Petersburg, 1991

  • Editors: S. Kuksin, V. Lazutkin, J. Pöschel

  • Series Title: Progress in Nonlinear Differential Equations and Their Applications

  • DOI: https://doi.org/10.1007/978-3-0348-7515-8

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1994

  • Hardcover ISBN: 978-3-7643-2980-8Due: 01 December 1993

  • Softcover ISBN: 978-3-0348-7517-2Published: 15 April 2014

  • eBook ISBN: 978-3-0348-7515-8Published: 29 June 2013

  • Series ISSN: 1421-1750

  • Series E-ISSN: 2374-0280

  • Edition Number: 1

  • Number of Pages: IX, 292

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

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