Caustics in time reversible Hamiltonian systems

James Montaldi, Mark Roberts (Editor), Ian N Stewart (Editor)

    Research output: Chapter in Book/Conference proceedingConference contributionpeer-review

    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.
    Original languageEnglish
    Title of host publicationSingularity theory and its applications, Part II
    EditorsMark Roberts, Ian N Stewart
    PublisherSpringer Nature
    Publication statusPublished - 1991
    EventSingularity theory and its applications - University of Warwick
    Duration: 1 Jan 19881 Jan 1989

    Conference

    ConferenceSingularity theory and its applications
    CityUniversity of Warwick
    Period1/01/881/01/89

    Keywords

    • Lagrangian projections, invariant tori, caustic

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