Caustics in time reversible hamiltonian systems

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


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.


Hamiltonian System Invariant Torus Lagrangian Submanifold Versal Deformation Vector Field Tangent 
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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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