The Geometry of Hamiltonian Systems

Proceedings of a Workshop Held June 5–16, 1989

  • Tudor Ratiu

Part of the Mathematical Sciences Research Institute Publications book series (MSRI, volume 22)

Table of contents

  1. Front Matter
    Pages i-x
  2. Malcolm R. Adams, Maarten Bergvelt
    Pages 1-7
  3. M. R. Adams, J. Harnad, J. Hurtubise
    Pages 9-21
  4. Solomon J. Alber
    Pages 23-32
  5. Judith M. Arms, Richard H. Cushman, Mark J. Gotay
    Pages 33-51
  6. Jian Cheng, Maciej P. Wojtkowski
    Pages 53-71
  7. Percy Deift, James Demmel, Luen-Chau Li, Carlos Tomei
    Pages 81-96
  8. J. Delgado-Fernández, E. Pérez-Chavela
    Pages 97-110
  9. Nicholas M. Ercolani, David W. McLaughlin
    Pages 111-129
  10. Ernesto A. Lacomba, Jaume Llibre, Ana Nunes
    Pages 373-385
  11. Luen-Chau Li, Serge Parmentier
    Pages 387-401
  12. Randolph James Schilling
    Pages 439-461

About these proceedings

Introduction

The papers in this volume are an outgrowth of the lectures and informal discussions that took place during the workshop on "The Geometry of Hamiltonian Systems" which was held at MSRl from June 5 to 16, 1989. It was, in some sense, the last major event of the year-long program on Symplectic Geometry and Mechanics. The emphasis of all the talks was on Hamiltonian dynamics and its relationship to several aspects of symplectic geometry and topology, mechanics, and dynamical systems in general. The organizers of the conference were R. Devaney (co-chairman), H. Flaschka (co-chairman), K. Meyer, and T. Ratiu. The entire meeting was built around two mini-courses of five lectures each and a series of two expository lectures. The first of the mini-courses was given by A. T. Fomenko, who presented the work of his group at Moscow University on the classification of integrable systems. The second mini­ course was given by J. Marsden of UC Berkeley, who spoke about several applications of symplectic and Poisson reduction to problems in stability, normal forms, and symmetric Hamiltonian bifurcation theory. Finally, the two expository talks were given by A. Fathi of the University of Florida who concentrated on the links between symplectic geometry, dynamical systems, and Teichmiiller theory.

Keywords

differential equation dynamical systems gauge theory manifold symplectic geometry

Editors and affiliations

  • Tudor Ratiu
    • 1
    • 2
  1. 1.Department of MathematicsUniversity of CaliforniaSanta CruzUSA
  2. 2.Mathematical Sciences Research InstituteBerkeleyUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-9725-0
  • Copyright Information Springer-Verlag New York 1991
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-9727-4
  • Online ISBN 978-1-4613-9725-0
  • Series Print ISSN 0940-4740
  • About this book