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

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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)

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

2010 MSC Number: 

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