%0 Journal Article
%T Perturbation of Lie symmetries and a type of generalized Hojman adiabatic invariants for variable mass systems with unilateral holonomic constraints<br>变质量单面完整约束系统Lie对称性的摄动与广义Hojman型绝热不变量
%A Jing Hong-Xing
%A Li Yuan-Cheng
%A Xia Li-Li
%A <br>荆宏星
%A 李元成
%A 夏丽莉
%J 物理学报
%D 2007
%I 
%X In this paper, the perturbation problem of Lie symmetries and adiabatic invariants for variable mass systems with unilateral holonomic constraints are studied. Firstly, a type of generalized Hojman conserved quantity under general infinitesimal transformation is obtained. Then, based on the definition of high-order adiabatic invariants of a mechanical system, the perburbation of Lie symmetries for variable mass systems with unilateral holonomic constraints under small disturbance is discussed and a type of generalized Hojman adiabatic invariants are given. At last, an example to illustrate the application of the results is given.
%K variable mass
%K unilateral holonomic constraints
%K symmetry
%K perturbation
%K adiabatic invariant<br>变质量
%K 单面完整约束
%K 对称性
%K 摄动
%K 绝热不变量
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=8F2469D80076A60F&yid=A732AF04DDA03BB3&vid=014B591DF029732F&iid=B31275AF3241DB2D&sid=DA933AB6A1B2C9EB&eid=75F6D8D78AF918A2&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=29