Abstract
The form invariance and Lie symmetry of a variable mass nonholonomic mechanical system is studied. The definition and the criterion and the conserved quantity of form invariance and Lie symmetry for the variable mass nonholonomic mechanical system are given. The relation between the form invariance and Lie symmetry is obtained. An example is given to illustrate the application of the results.
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Communicated by MA Xing-rui
Biography: FANG Jian-hui, Professor, E-mail: fangjh@hdpu.edu.cn
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Jian-hui, F., Pei-sheng, C. & Jun, Z. Form invariance and Lie symmetry of variable mass nonholonomic mechanical system. Appl Math Mech 26, 204–209 (2005). https://doi.org/10.1007/BF02438243
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DOI: https://doi.org/10.1007/BF02438243