Implicit Hamiltonian systems with symmetry

Arjan van der Schaft

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    47 Citations (Scopus)


    Implicit Hamiltonian systems with symmetry are treated by exploiting the notion of symmetry of Dirac structures. It is shown how Dirac structures can be reduced to Dirac structures on the orbit space of the symmetry group, leading to a reduced implicit (generalized) Hamiltonian system. The approach is specialized to nonholonomic mechanical systems with symmetry.
    Original languageUndefined
    Pages (from-to)203-221
    Number of pages19
    JournalReports on mathematical physics
    Issue number2
    Publication statusPublished - 1998


    • Hamiltonian systems
    • Dirac structures
    • Reduction
    • METIS-140316
    • nonholonomic constraints
    • implicit systems
    • IR-73839
    • Symmetry

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