Gao Puyun. A New Method for the Construction of Integrable Hamiltonian Systems[J]. Applied Mathematics and Mechanics, 1996, 17(10): 933-938.
Citation: Gao Puyun. A New Method for the Construction of Integrable Hamiltonian Systems[J]. Applied Mathematics and Mechanics, 1996, 17(10): 933-938.

A New Method for the Construction of Integrable Hamiltonian Systems

  • Received Date: 1996-02-13
  • Publish Date: 1996-10-15
  • A new method for the construction of integrable Hamiltonian system is proposed.For a given Poisson manifold the present paper constructs new Poisson brackets on it by making use of the Dirac-Poisson structure([1]),and obtains, further new integrable Hamiltonian systems. The constructed Poisson bracket is usual non-linear, and this new method is also different from usual ones([2-4]).Two examples are given.
  • loading
  • [1]
    P.A.M.Dirac,Generalized Hamilton dynamics,Can.J.Math.,2(1950),129-148.
    [2]
    V.I.Arnold,et al.(eds),Dynamical Systems(VI),Springer-Verlag (1992),116-220.
    [3]
    B.Kostant,Adv.Math.,34(1979),195.
    [4]
    R.Abraham and J.Marsden,Forardations of Mechanics,2nd ed,Addison-Wesley,Reading,Mass(1978),298-304.
    [5]
    D.H.Sattinger and O.L.Weaver,Lie Groups and Algebra with Applications to Plorsics.Geometry and Mechanics,Springer-Verlag(1986).
    [6]
    L.D.Faddeev and L.A.Takhtajan,Hamihonian Methods in the Theory of Solutions,Springer-Verlag(1987).
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1922) PDF downloads(463) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return