Poisson's theory of Birkhoffian system (Q1919025)

From MaRDI portal





scientific article; zbMATH DE number 908278
Language Label Description Also known as
English
Poisson's theory of Birkhoffian system
scientific article; zbMATH DE number 908278

    Statements

    Poisson's theory of Birkhoffian system (English)
    0 references
    23 July 1996
    0 references
    The author considers Birkhoff's system of equations. He develops the generalized Poisson bracket and uses it to characterize the first integrals. It is proved that Birkhoffian function of an autonomous Birkhoffian systems is a first integral. Additionalyl, some generalized first integrals are obtained.
    0 references
    generalized Poisson bracket
    0 references
    first integrals
    0 references
    autonomous Birkhoffian systems
    0 references
    generalized first integrals
    0 references
    0 references

    Identifiers