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Singularity Theory and its Applications pp 266–277Cite as

Caustics in time reversible hamiltonian systems

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Part of the book series: Lecture Notes in Mathematics ((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.

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References

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Author information

Authors and Affiliations

  1. Mathematics Institute, University of Warwick, CV4 7AL, Coventry, U.K.

    James Montaldi

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  1. James Montaldi
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Mark Roberts Ian Stewart

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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

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