Lie symmetries and adiabatic invariants for holonomic systems in event space
事件空间中完整系统的Lie对称性与绝热不变量

The perturbations of Lie symmetries and adiabatic invariants for holonomic mechanical systems in event space are studied. Based on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for the system under the action of small disturbance is investigated, and a type of Hojman high-order adiabatic invariants of the system are obtained. The conditions for the existence of the adiabatic invariants and the form of the adiabatic invariants are given. An example is presented to illustrate the results.