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完整动力系统的积分不变量

纳赛尔·艾赫默德

纳赛尔·艾赫默德. 完整动力系统的积分不变量[J]. 应用数学和力学, 1994, 15(8): 719-727.
引用本文: 纳赛尔·艾赫默德. 完整动力系统的积分不变量[J]. 应用数学和力学, 1994, 15(8): 719-727.
Naseer Ahmed. Integral Invariants of a Holonomic Dynamical System Naseer Ahmed[J]. Applied Mathematics and Mechanics, 1994, 15(8): 719-727.
Citation: Naseer Ahmed. Integral Invariants of a Holonomic Dynamical System Naseer Ahmed[J]. Applied Mathematics and Mechanics, 1994, 15(8): 719-727.

完整动力系统的积分不变量

Integral Invariants of a Holonomic Dynamical System Naseer Ahmed

  • 摘要: 本文利用Poincaré形式研究了一个保守完整动力系统的积分不变量,对异步变分引入了新的参数,给出了Poincaré和Poincare-Cartan积分不变量的一个推广。
  • [1] Ahmed,N.,Some problems in the dynamics of nonholonomic systems,P h.D.Thesis,Quaid-i-Azam University,lslamabad,Pakistan(1986).
    [2] Arnold,V.I..Mathematical Methods of Classical Mechanics,Springer-Verlag,New York Inc.(1978).
    [3] Benavent,R.,Poincare-Cartan integral invariant for constrained system,Ann.Phys.,118,2(1979),476-489.
    [4] Cetaev,N.G.,On the equations of Poirlcare,Prikl.Mai.Meh.,5(1941),253-262.
    [5] 19jukK:,Dj.S.,Integral invariants in classical nonconservative mechanics,Acta Mechanica,23,3(1975),291-296.
    [6] Dobronravove,V.V.,Integral-invariants of the analytical mechanics in nonholonomic coordinates,Dokl.Akad.Nauk.SSSR,XLVI(1945),196-199.
    [7] Duan,L.and L.Young,About basic integral variants of holonomic nonconservative dynamical systems,A cta Mechanica Siniea,7,2( 1991),178-185.
    [8] Gantmacher,F.R.,Lectures in Analytical Mechanics,Mir Publishers,Moscow(1970).
    [9] Ghori,Q.K.and M.Hussain,Generalization of Hamilton-Jacobi theorem,Z.Angew.Math.Phys.,25(1974),536-540.
    [10] Ghori.Q.K.and N.Ahmed,Hamilton's principle for nonholonomic systems,Z.Angew.Math.Mech.74,2(1994),137-140.
    [11] Pars,L.A.,A Treatise on Analyiical Dynamics,Heinemann London(1968).
    [12] Poiner6,H.,Sur nue forme nouvelle des equations de la mecanique,C.R.Acad.Sci.,Paris,132(1901),369-371.
    [13] Vujanovic,B.,Conservation laws of dynamical systems via d'Alember's principle,Int.J.Non-Linear Mech.,13(1978),185-197.
    [14] Whittaker,E.T.,d Treatise on AnaO,tical Dynamics of Particles and Rigid Bodies,Cambridge University Press(1927)
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出版历程
  • 收稿日期:  1993-10-29
  • 刊出日期:  1994-08-15

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