%0 Journal Article
%T Perturbation to symmetries and adiabatic invariant for systems of generalized classical mechanics<br>广义经典力学系统对称性的摄动与绝热不变量
%A Zhang Yi
%A Mei Feng-Xiang
%A <br>张毅
%A 梅凤翔
%J 物理学报
%D 2003
%I 
%X This paper studies the exact invariants and the adiabatic invariants for systems of generalized classical mechanics in the high-dimensional extended phase space and gives the relations between the invariants and the symmetries of the system s in the space. Based on the concept of high-order adiabatic invariant of mechan ical systems with the action of small disturbance, it presents the form of the h igh-order adiabatic invariant and the conditions for their existence,and establi shes the relationship between adiabatic invariant and symmetrical transformation . In the end of this paper, an example is given to illustrate the application of the results.
%K symmetry
%K perturbation
%K invariant
%K system of generalized classical mechanics
%K ex tended phase space<br>对称性，
%K 摄动，
%K 不变量，
%K 广义经典力学系统，
%K 增广相空间
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=4FA8556D376A14D7&yid=D43C4A19B2EE3C0A&vid=286FB2D22CF8D013&iid=F3090AE9B60B7ED1&sid=054C27D6C3EE1321&eid=594861585BE7463E&journal_id=1000-3290&journal_name=物理学报&referenced_num=8&reference_num=15