Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System
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摘要: 研究变质量非完整系统的形式不变性和Lie对称性.给出变质量非完整系统在无限小变换下形式不变性和Lie对称性的定义、判据及存在守恒量的定理,得到形式不变性和Lie对称性的关系,并举例说明结果的应用.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 result.
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Key words:
- variable mass /
- nonholonomic system /
- form invariance /
- Lie symmetry
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