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Caustics in time reversible hamiltonian systems

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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© 1991 Springer-Verlag

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Montaldi, J. (1991). Caustics in time reversible hamiltonian systems. In: Roberts, M., Stewart, I. (eds) Singularity Theory and its Applications. Lecture Notes in Mathematics, vol 1463. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0085435

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  • DOI: https://doi.org/10.1007/BFb0085435

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53736-6

  • Online ISBN: 978-3-540-47047-2

  • eBook Packages: Springer Book Archive