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New Advances in Celestial Mechanics and Hamiltonian Systems

HAMSYS-2001

  • Conference proceedings
  • © 2004

Overview

Editors:
  1. J. Delgado

    1. Universidad Autónoma Metropolitana-Iztapalapa, Mexico City, Mexico

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  2. E. A. Lacomba

    1. Universidad Autónoma Metropolitana-Iztapalapa, Mexico City, Mexico

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  3. J. Llibre

    1. Universitat Autónoma de Barcelona, Barcelona, Spain

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  4. E. Pérez-Chavela

    1. Universidad Autónoma Metropolitana-Iztapalapa, Mexico City, Mexico

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Table of contents (15 papers)

  1. Front Matter

    Pages i-xii
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  2. Exchange and Capture in the Planar Restricted Parabolic 3-Body Problem

    • Martha Alvarez-Ramírez, Joaquín Delgado, Josep Maria Cors
    Pages 1-28

  3. Fitting Invariant Curves on Billiard Tables and the Birkhoff-Herman Theorem

    • Edoh Y. Amiran
    Pages 29-36

  4. Construction of Periodic Orbits in Hill’s Problem for \(C \gtrsim {3^{\tfrac{4}{3}}}\)

    • Edward Belbruno
    Pages 37-61

  5. Are There Perverse Choreographies?

    • Alain Chenciner
    Pages 63-76

  6. Blow up of Total Collision in the Tetrahedral Non-Rotating Four Body Problem

    • Joaquín Delgado, Claudio Vidal
    Pages 77-94

  7. Symbolic Dynamics for Transition Tori-II

    • Marian Gidea, Clark Robinson
    Pages 95-108

  8. A Survey on Bifurcations of Invariant Tori

    • Heinz Hanßmann
    Pages 109-121

  9. Perturbing the Lagrange Solution to the General Three Body Problem

    • E. Piña, L. Jiménez-Lara
    Pages 123-136

  10. Horseshoe Periodic Orbits in the Restricted Three Body Problem

    • J. Llibre, Mercè Ollé
    Pages 137-152

  11. Instability of Periodic Orbits in the Restricted Three Body Problem

    • Daniel Offin, Wojciech Skoczylas
    Pages 153-168

  12. Syzygies and the Integral Manifolds of the Spatial N-Body Problem

    • Christopher McCord
    Pages 169-183

  13. Dynamics and Bifurcation Near the Transition from Stability to Complex Instability

    • M. Ollé, J. R. Pacha, J. Villanueva
    Pages 185-197

  14. Invariant Manifolds of Spatial Restricted Three-Body Problems: the Lunar Case

    • Jesús Palacián, Patricia Yanguas
    Pages 199-224

  15. Path Integral Quantization of the Sphere

    • Walter Reartes
    Pages 225-237

  16. Non-Holonomic Systems with Symmetry Allowing a Conformally Symplectic Reduction

    • Pedro de M. Rios, Jair Koiller
    Pages 239-252

  17. Back Matter

    Pages 253-255
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Keywords

About this book

The aim of the IV International Symposium on Hamiltonian Systems and Celestial Mechanics, HAMSYS-2001 was to join top researchers in the area of Celestial Mechanics, Hamiltonian systems and related topics in order to communicate new results and look forward for join research projects. For PhD students, this meeting offered also the opportunity of personal contact to help themselves in their own research, to call as well and promote the attention of young researchers and graduated students from our scientific community to the above topics, which are nowadays of interest and relevance in Celestial Mechanics and Hamiltonian dynamics. A glance to the achievements in the area in the last century came as a consequence of joint discussions in the workshop sessions, new problems were presented and lines of future research were delineated. Specific discussion topics included: New periodic orbits and choreographies in the n-body problem, singularities in few body problems, central configurations, restricted three body problem, geometrical mechanics, dynamics of charged problems, area preserving maps and Arnold diffusion.

Editors and Affiliations

  • Universidad Autónoma Metropolitana-Iztapalapa, Mexico City, Mexico

    J. Delgado, E. A. Lacomba, E. Pérez-Chavela

  • Universitat Autónoma de Barcelona, Barcelona, Spain

    J. Llibre

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