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Caustics in time reversible hamiltonian systems

  • James Montaldi
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1463)

Abstract

We consider the projection to configuration space of invariant tori in a time reversible Hamiltonian system at a point of zero momentum. At such points the projection has rank zero and the resulting caustic has a corner. We use caustic equivalence of Lagrangian mappings to find a normal form for such a corner in 3 degrees of freedom.

Keywords

Hamiltonian System Invariant Torus Lagrangian Submanifold Versal Deformation Vector Field Tangent 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • James Montaldi
    • 1
  1. 1.Mathematics InstituteUniversity of WarwickCoventryU.K.

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