Parametric equations and its first integrals for Birkhoffian systems in the event space
事件空间中Birkhoff系统的参数方程及其第一积分

In this paper, the dynamics of Birkhoffian systems in the event space is studied. The Pfaff-Birkhoff-d'Alembert principle and Birkhoff's parametric equations for the Birkhoffian systems are established in the event space of (2n+1) dimensions. The first integrals of the parametric equations and the conditions for their existence are presented.