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研究Lagrange系统在施加陀螺力后的Noether对称性与Lie对称性.给出系统在施加陀螺力后 ，可保持其Noether对称性与Noether守恒量的条件.给出系统在施加陀螺力后，可保持其Lie 对称性与Hojman守恒量的条件.最后，举例说明结果的应用.
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关键词:
- Lagrange系统 /
- 陀螺力 /
- 对称性 /
- 守恒量
The Noether symmetry and Lie symmetry of the Lagrange system subjected to gyroscopic forces are studied. The condition that the system, under gyroscopic forces , can keep its Noether symmetry and Noether conserved quantity is given. And the condition that the system subjected to gyroscopic forces can keep its Lie symme try and Hojman conserved quantity is also given. Finally, two examples are given to illustrate the application of the results.-
Keywords:
- Lagrange system /
- gyroscopic force /
- symmetry /
- conserved quantity
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