中国物理B ›› 2007, Vol. 16 ›› Issue (6): 1516-1520.doi: 10.1088/1009-1963/16/6/004
夏丽莉, 李元成
Xia Li-Li(夏丽莉)† and Li Yuan-Cheng(李元成)
摘要: This paper studies the perturbation to symmetries and adiabatic invariant for nonholonomic controllable mechanical systems with non-Chetaev type constraints. It gives the exact invariants introduced by the Lie symmetries of the nonholonomic controllable mechanical system with non-Chetaev type constraints without perturbation. Based on the definition of high-order adiabatic invariants of mechanical system, the perturbation of Lie symmetries for nonholonomic controllable mechanical system with non-Chetaev type constraints with the action of small disturbances is investigated, and a new type of adiabatic invariant of system are obtained. In the end of this paper, an example is given to illustrate the application of the results.
中图分类号: (General properties, structure, and representation of Lie groups)