| Lie Symmetries and Non-Noether Conserved Quantities of Nonholonomic Systems |
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| 作者姓名： | ZHANGHong-Bin CHENLi-Qun Shu-Long |
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| 作者单位： | [1]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,China [2]DepartmentofPhysics,ChaohuTeacher＇sCollege,Chaohu238000,China |
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| 摘 要： | A new conservation theorem of the nonholonomic systems is studied. The conserved quantity is only constructed in terms of a general Lie group of transformation vector of the dynamical equations. Firstly, we establish the dynamical equations of thc nonholonomic systcms and the determining equations of Lie symmetry. Next, the theorem of non-Noether conserved quantity is deduced. Finally, we give an example to illustrate the application of the result.
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| 关 键 词： | 李对称 非Noether守恒量 不完整系统 守恒定律 李群 矢量转换 |
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