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Hamiltonian Dynamical Systems

History, Theory, and Applications

  • Conference proceedings
  • © 1995

Overview

Editors:
  1. H. S. Dumas

    1. Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA

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  2. K. S. Meyer

    1. Institute for Dynamics Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA

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  3. D. S. Schmidt

    1. Department of Computer Science, University of Cincinnati, Cincinnati, USA

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

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Table of contents (25 papers)

  1. Front Matter

    Pages i-xix
    Download chapter PDF

  3. Theory and Applications

    1. A Limiting Absorption Principle for Separated Dirac Operators with Wigner von Neumann Type Potentials

      • Horst Behncke, Peter Rejto
      Pages 59-88

    2. Lax Pairs in the Henon-Heiles and Related Families

      • R. C. Churchill, G. T. Falk
      Pages 89-98

    3. Poincaré Compactification of Hamiltonian Polynomial Vector Fields

      • J. Delgado, E. A. Lacomba, J. Llibre, E. Pérez
      Pages 99-114

    4. Transverse Homoclinic Connections for Geodesic Flows

      • Victor J. Donnay
      Pages 115-125

    5. A New Proof of Anosov’s Averaging Theorem

      • H. Scott Dumas
      Pages 127-136

    6. Bifurcations in the Generalized van der Waals Interaction: The Polar Case (M = 0)

      • Antonio Elipe, Sebastián Ferrer
      Pages 137-145

    7. Energy Equipartition and Nekhoroshev-Type Estimates for Large Systems

      • Antonio Giorgilli
      Pages 147-161

    8. Suspension of Symplectic Twist Maps by Hamiltonians

      • Christophe Golé
      Pages 163-169

    9. Global Structural Stability of Planar Hamiltonian Vector Fields

      • Xavier Jarque, Jaume Llibre
      Pages 171-180

    10. Analytic Torsion, Flows and Foliations

      • Stephane Laederich
      Pages 181-193

    11. Linearized Dynamics of Symmetric Lagrangian Systems

      • Debra Lewis
      Pages 195-216

    12. A 1: —1 Semisimple Hamiltonian Hopf Bifurcation in Vortex Dynamics

      • Chjan Lim
      Pages 217-220

    13. Stability of Hamiltonian Systems over Exponentially Long Times: The Near-Linear Case

      • Pierre Lochak
      Pages 221-229

    14. Constrained Variational Principles and Stability in Hamiltonian Systems

      • John H. Maddocks, Robert L. Sachs
      Pages 231-264

    15. The Global Phase Structure of the Three Dimensional Isosceles Three Body Problem with Zero Energy

      • Kenneth R. Meyer, Quidong Wang
      Pages 265-282

    16. Non-Canonical Transformations of Nonlinear Hamiltonians

      • Bruce R. Miller, Vincent T. Coppola
      Pages 283-290
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA

    H. S. Dumas

  • Institute for Dynamics Department of Mathematical Sciences, University of Cincinnati, Cincinnati, USA

    K. S. Meyer

  • Department of Computer Science, University of Cincinnati, Cincinnati, USA

    D. S. Schmidt

Bibliographic Information

  • Book Title: Hamiltonian Dynamical Systems

  • Book Subtitle: History, Theory, and Applications

  • Editors: H. S. Dumas, K. S. Meyer, D. S. Schmidt

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4613-8448-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1995

  • Hardcover ISBN: 978-0-387-94437-1Due: 10 March 1995

  • Softcover ISBN: 978-1-4613-8450-2Published: 11 November 2011

  • eBook ISBN: 978-1-4613-8448-9Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: XIX, 385

  • Topics: Analysis

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