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Caustics in time reversible Hamiltonian systems

Authors
Publisher
Springer
Publication Date
Keywords
  • Lagrangian Projections
  • Invariant Tori
  • Caustic

Abstract

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

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