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Hamiltonian Dynamical Systems

History, Theory, and Applications

  • H. S. Dumas
  • K. S. Meyer
  • D. S. Schmidt

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 63)

Table of contents

  1. Front Matter
    Pages i-xix
  2. History

  3. Theory and Applications

    1. R. C. Churchill, G. T. Falk
      Pages 89-98
    2. J. Delgado, E. A. Lacomba, J. Llibre, E. Pérez
      Pages 99-114
    3. H. Scott Dumas
      Pages 127-136
    4. Xavier Jarque, Jaume Llibre
      Pages 171-180
    5. Stephane Laederich
      Pages 181-193
    6. John H. Maddocks, Robert L. Sachs
      Pages 231-264
    7. Bruce R. Miller, Vincent T. Coppola
      Pages 283-290
    8. Dieter S. Schmidt
      Pages 341-361
    9. Prem Kumar N. Swami
      Pages 363-372

About these proceedings

Introduction

From its origins nearly two centuries ago, Hamiltonian dynamics has grown to embrace the physics of nearly all systems that evolve without dissipation, as well as a number of branches of mathematics, some of which were literally created along the way. This volume contains the proceedings of the International Conference on Hamiltonian Dynamical Systems; its contents reflect the wide scope and increasing influence of Hamiltonian methods, with contributions from a whole spectrum of researchers in mathematics and physics from more than half a dozen countries, as well as several researchers in the history of science. With the inclusion of several historical articles, this volume is not only a slice of state-of-the-art methodology in Hamiltonian dynamics, but also a slice of the bigger picture in which that methodology is imbedded.

Keywords

bifurcation calculus dynamical systems hamiltonian system stability

Editors and affiliations

  • H. S. Dumas
    • 1
  • K. S. Meyer
    • 2
  • D. S. Schmidt
    • 3
  1. 1.Department of Mathematical SciencesUniversity of CincinnatiCincinnatiUSA
  2. 2.Institute for Dynamics Department of Mathematical SciencesUniversity of CincinnatiCincinnatiUSA
  3. 3.Department of Computer ScienceUniversity of CincinnatiCincinnatiUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-8448-9
  • Copyright Information Springer-Verlag New York 1995
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8450-2
  • Online ISBN 978-1-4613-8448-9
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site