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.
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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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