Symmetry and reduction in implicit generalized Hamiltonian systems

G. Blankenstein, Arjan van der Schaft

    Research output: Book/ReportReportOther research output

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    Abstract

    In this paper the notion of symmetry for implicit generalized Hamiltonian systems will be studied and a reduction theorem, generalizing the `classical' reduction theorems of symplectic and Poisson-Hamiltonian systems, will be derived.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherUniversity of Twente, Department of Applied Mathematics
    Publication statusPublished - 1999

    Publication series

    NameMemorandum / Department of Mathematics
    PublisherDepartment of Applied Mathematics, University of Twente
    No.1489
    ISSN (Print)0169-2690

    Keywords

    • IR-65678
    • EWI-3309
    • MSC-58F05
    • MSC-70F25
    • MSC-70H05
    • MSC-70H33
    • MSC-34A09
    • MSC-34C20
    • MSC-34A05

    Cite this

    Blankenstein, G., & van der Schaft, A. (1999). Symmetry and reduction in implicit generalized Hamiltonian systems. (Memorandum / Department of Mathematics; No. 1489). Enschede: University of Twente, Department of Applied Mathematics.
    Blankenstein, G. ; van der Schaft, Arjan. / Symmetry and reduction in implicit generalized Hamiltonian systems. Enschede : University of Twente, Department of Applied Mathematics, 1999. (Memorandum / Department of Mathematics; 1489).
    @book{87b846626fa847da811509a256cf8bff,
    title = "Symmetry and reduction in implicit generalized Hamiltonian systems",
    abstract = "In this paper the notion of symmetry for implicit generalized Hamiltonian systems will be studied and a reduction theorem, generalizing the `classical' reduction theorems of symplectic and Poisson-Hamiltonian systems, will be derived.",
    keywords = "IR-65678, EWI-3309, MSC-58F05, MSC-70F25, MSC-70H05, MSC-70H33, MSC-34A09, MSC-34C20, MSC-34A05",
    author = "G. Blankenstein and {van der Schaft}, Arjan",
    note = "Imported from MEMORANDA",
    year = "1999",
    language = "Undefined",
    series = "Memorandum / Department of Mathematics",
    publisher = "University of Twente, Department of Applied Mathematics",
    number = "1489",

    }

    Blankenstein, G & van der Schaft, A 1999, Symmetry and reduction in implicit generalized Hamiltonian systems. Memorandum / Department of Mathematics, no. 1489, University of Twente, Department of Applied Mathematics, Enschede.

    Symmetry and reduction in implicit generalized Hamiltonian systems. / Blankenstein, G.; van der Schaft, Arjan.

    Enschede : University of Twente, Department of Applied Mathematics, 1999. (Memorandum / Department of Mathematics; No. 1489).

    Research output: Book/ReportReportOther research output

    TY - BOOK

    T1 - Symmetry and reduction in implicit generalized Hamiltonian systems

    AU - Blankenstein, G.

    AU - van der Schaft, Arjan

    N1 - Imported from MEMORANDA

    PY - 1999

    Y1 - 1999

    N2 - In this paper the notion of symmetry for implicit generalized Hamiltonian systems will be studied and a reduction theorem, generalizing the `classical' reduction theorems of symplectic and Poisson-Hamiltonian systems, will be derived.

    AB - In this paper the notion of symmetry for implicit generalized Hamiltonian systems will be studied and a reduction theorem, generalizing the `classical' reduction theorems of symplectic and Poisson-Hamiltonian systems, will be derived.

    KW - IR-65678

    KW - EWI-3309

    KW - MSC-58F05

    KW - MSC-70F25

    KW - MSC-70H05

    KW - MSC-70H33

    KW - MSC-34A09

    KW - MSC-34C20

    KW - MSC-34A05

    M3 - Report

    T3 - Memorandum / Department of Mathematics

    BT - Symmetry and reduction in implicit generalized Hamiltonian systems

    PB - University of Twente, Department of Applied Mathematics

    CY - Enschede

    ER -

    Blankenstein G, van der Schaft A. Symmetry and reduction in implicit generalized Hamiltonian systems. Enschede: University of Twente, Department of Applied Mathematics, 1999. (Memorandum / Department of Mathematics; 1489).