CHEN Xiang-wei, LUO Shao-kai, MEI Feng-xiang. A Form Invariance of Constrained Birkhoffian System[J]. Applied Mathematics and Mechanics, 2002, 23(1): 47-51.
Citation: CHEN Xiang-wei, LUO Shao-kai, MEI Feng-xiang. A Form Invariance of Constrained Birkhoffian System[J]. Applied Mathematics and Mechanics, 2002, 23(1): 47-51.

A Form Invariance of Constrained Birkhoffian System

  • Received Date: 2000-03-14
  • Rev Recd Date: 2001-08-26
  • Publish Date: 2002-01-15
  • The form invariance of constrained Birkhoffian system is a kind of invariance of the constrained Birkhoffian equations under infinitesimal transformations.The definition and criteria of the form invariance of constrained Birkhoffian system are given,and the relation of the form invariance and the Noether symmetry is studied.
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  • [1]
    Santilli R M.Foundations of theoretical mechanics Ⅱ[M].NewYork: Springer-Verlag,1983.
    [2]
    梅凤翔,史荣昌,张永发,等.Birkboff系统动力学[M].北京:北京理工大学出版社,1996.
    [3]
    梅凤翔.Birkboff系统的Noether理论:中国科学(A辑)[J].1993,2(7):709-717.
    [4]
    梅凤翔.Birkboff系统的Poisson理论,科学通报[J].1995,40(21):1947-1950.
    [5]
    梅凤翔.Birkboff系统的Lie对称性和守恒律,科学通报[J].1998,43(18):1937-1939.
    [6]
    李子平.经典和量子约束系统及其对称性质[M].北京:北京工业大学出版社,1993.
    [7]
    赵跃宇,梅凤翔.力学系统的对称性与不变量[M].北京:科学出版社,1999.
    [8]
    梅凤翔.李群和李代数对约束力学系统的应用[M].北京:科学出版社,1999.
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