Noether''s theory for Birkhoffian systems in the event space
事件空间中Birkhoff系统的Noether理论

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.