中国物理B ›› 2003, Vol. 12 ›› Issue (9): 936-939.doi: 10.1088/1009-1963/12/9/302
陈向炜, 李彦敏
Chen Xiang-Wei (陈向炜), Li Yan-Min (李彦敏)
摘要: Based on the theory of symmetries and conserved quantities of the singular Lagrange system, the perturbations to the symmetries and adiabatic invariants of the singular Lagrange systems are discussed. Firstly, the concept of higher-order adiabatic invariants of the singular Lagrange system is proposed. Then, the conditions for the existence of the exact invariants and adiabatic invariants are proved, and their forms are given. Finally, an example is presented to illustrate these results.
中图分类号: (Lie algebras of Lie groups)