%0 Journal Article
%T Noether''s theory for Birkhoffian systems in the event space<br>事件空间中Birkhoff系统的Noether理论
%A Zhang Yi
%A <br>张毅
%J 物理学报
%D 2008
%I 
%X In this paper, the Noether symmetries and the Noether conserved quantities for Birkhoffian systems in the event space is studied. Firstly, the parametric equations for the Birkhoffian systems are established; secondly, the Noether's theorem and its inverse theorem for the systems are given, which are based upon the invariant properties of the Pfaffian action with respect to the action of the infinitesimal transformation; and finally, an examples is given to illustrate the application of the results.
%K event space
%K Birkhoffian system
%K Pfaffian action
%K Noether symmetry<br>事件空间，
%K Birkhoff系统，
%K Pfaff作用量，
%K Noether对称性
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=29DF2CB55EF687E7EFA80DFD4B978260&aid=A251CB27F1A9677905D920CD3E615743&yid=67289AFF6305E306&vid=11B4E5CC8CDD3201&iid=94C357A881DFC066&sid=E5EF7582ACC900A3&eid=68269D28FC1B2CD2&journal_id=1000-3290&journal_name=物理学报&referenced_num=0&reference_num=21