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Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (6): 635-640.

• 论文 • 上一篇    下一篇

LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONCONSERVATIVE NONHOLONOMIC SYSTEMS IN PHASE SPACE

刘荣万1, 傅景礼2   

  1. 1. Shaoguan University, Shaoguan 512005, P. R. China;
    2. Shangqiu Teachers Colleges, Shangqiu 476000, P. R. China
  • 收稿日期:1998-01-06 修回日期:1999-01-30 出版日期:1999-06-18 发布日期:1999-06-18
  • 基金资助:
    the National Natural Science Foundation of China(19572018)

LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONCONSERVATIVE NONHOLONOMIC SYSTEMS IN PHASE SPACE

Liu Rongwan1, Fu Jingli2   

  1. 1. Shaoguan University, Shaoguan 512005, P. R. China;
    2. Shangqiu Teachers Colleges, Shangqiu 476000, P. R. China
  • Received:1998-01-06 Revised:1999-01-30 Online:1999-06-18 Published:1999-06-18
  • Supported by:
    the National Natural Science Foundation of China(19572018)

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摘要： The invariance and conserved quantities of the nonconservative nonholonomic systems are studied by introducing the infinitesimal transformations in phase space.The Lie’s symmetrical determining equations are establish ed.The Lie’s symmetrical structure equation is obtained.An example to illustrate the application of the result is given.

关键词: nonholonomic constraint, phase space, Lie’s symmetry

Abstract: The invariance and conserved quantities of the nonconservative nonholonomic systems are studied by introducing the infinitesimal transformations in phase space.The Lie’s symmetrical determining equations are establish ed.The Lie’s symmetrical structure equation is obtained.An example to illustrate the application of the result is given.

Key words: nonholonomic constraint, phase space, Lie’s symmetry

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