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1. Four Hamiltonian Systems

  • Konstantinos EfstathiouEmail author
Chapter
Part of the Lecture Notes in Mathematics book series (LNM, volume 1864)

Contents.

  • 1.1. Small Vibrations of Tetrahedral Molecules
    • 1.1.1. Description

    • 1.1.2. The 2-Mode

    • 1.1.3. The 3-Mode

  • 1.2. The Hydrogen Atom in Crossed Fields
    • 1.2.1. Perturbed Kepler Systems

    • 1.2.2. Description

    • 1.2.3. Normalization and Reduction

    • 1.2.4. Energy Momentum Map

  • 1.3. Quadratic Spherical Pendula
    • 1.3.1. A Spherical Pendulum Model for Floppy Triatomic Molecules

    • 1.3.2. The Family of Quadratic Spherical Pendula

  • 1.4. The 1:-2 Resonance System
    • 1.4.1. Reduction

    • 1.4.2. The 1:-1 Resonance System

    • 1.4.3. Fractional Monodromy in the 1:-2 Resonance System

Mathematics Subject Classification (2000):

70E40 70H33 70H05 70H06 70K45 70K75 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2005

Authors and Affiliations

  1. 1.MREID, Université du LittoralDunkerqueFrance

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