%0 Journal Article
%T Discussion on Perturbation to Weak Noether Symmetry and Adiabatic Invariants for Lagrange Systems<br>
%A WANG Peng
%A FANG Jian-Hui
%A WANG Xian-Ming
%A <br>
%J 中国物理快报
%D 2009
%I 
%X We study a new symmetric perturbation, i.e. weakly Noether symmetric perturbation (WNSP). The criterion and definition of WNSP and Noether symmetric perturbation (NSP) are given. A theorem between WNSP and adiabatic invariants is established. It is concluded that WNSP is different from NSP, the sufficient condition when WNSP is NSP can be presented, and theformer is broader. We apply our results to the planar Kepler problem.
%K 45
%K 20
%K Jj
%K 02
%K 20
%K Sv
%K 11
%K 30
%K -j<br>
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=E27DA92E19FE279A273627875A70D74D&aid=948146A0F9F7D8EDAEA20DD457D24538&yid=DE12191FBD62783C&vid=96C778EE049EE47D&iid=38B194292C032A66&journal_id=0256-307X&journal_name=中国物理快报&referenced_num=0&reference_num=0