摘要
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.
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 symmetry and Hojman conserved quantity is also given. Finally, two examples are given to illustrate the application of the results.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2005年第6期2474-2477,共4页
Acta Physica Sinica
基金
国家自然科学基金(批准号:10272021)
教育部博士点基金(批准号:20040007022)资助的课题.~~
