%0 Journal Article
%T A new type of non-Noether adiabatic invariants, i.e. adiabatic invariants of Lut zky type, for Lagrangian systems<br>Lagrange系统一类新型的非Noether绝热不变量——Lutzky型绝热不变量
%A Luo Shao-Kai
%A <br>罗绍凯
%J 物理学报
%D 2007
%I 
%X The perturbation of Lie symmetries and new non-Noether adiabatic invariants for the Lagrangian system are studied. The exact invariants of Lutzky type arising f rom the Lie symmetries of Lagrangian system without perturbation are given. Base d on the definition of high-order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for Lagrangian system under the action of smal l disturbances is investigated, and a type of Lutzky adiabatic invariants of the system are obtained. An example is given to illustrate the application of the m ethod and results.
%K analytical mechanics
%K Lagrangian system
%K symmetry
%K perturbation<br>分析力学，
%K Lagrange系统，
%K 对称性，
%K 摄动
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=54DF1824B9E340C6&yid=A732AF04DDA03BB3&vid=014B591DF029732F&iid=F3090AE9B60B7ED1&sid=4C2B3236915811C6&eid=DCFC00E503FE0C24&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=26