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MEI Feng-xiang, ZHU Hai-ping. Lie Symmetries and Conserved Quantities for the Singular Lagrange System[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2000, 9(1): 11-14.
Citation: MEI Feng-xiang, ZHU Hai-ping. Lie Symmetries and Conserved Quantities for the Singular Lagrange System[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2000, 9(1): 11-14.
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Lie Symmetries and Conserved Quantities for the Singular Lagrange System

  • 1.

    Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081

  • 2.

    Department of Mechanics and Engineering Science, Peking University, Beijing 100871

Funds:NationalNaturalScienceFoundationofChina (19572018);DoctoralProgrammeFoundationofInstitutionofHigherEducationofChina
  • Received Date:1999-11-10
    Abstract
  • The invariance of the ordinary differential equations under the infinitesimal transformations was used to study the Lie symmetries and conserved quantities for the singular Lagrange system. The determining equations, the restriction equations of the Lie symmetries and the form of conserved quantities of the system are obtained.
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    • References (4)
  • [1]
    Lutzky M. Dynamical symmetries and conserved quant ities[J]. J Phys A: Math Gen, 1979,12(7) : 973-981.
    [2]
    Zhao Yueyu, Mei Fengx iang. On symmetry and invariant of dynamical systems[J]. Advances inmechanics(in Chinese), 1993, 23(3) : 360-372.
    [3]
    Li Ziping. Classical and quantal dynamics of constrained systems and their symmetrical proper ties(in Chinese) [M]. Beijing: Beijing Polytechnic University Press, 1993.
    [4]
    Sudarshan E C G, Mukunda N. Classical dynamics: A modern perspective[M]. New York: Jo hnWiley & Sons, 1974.
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