事件空间中Birkhoff系统的参数方程及其第一积分

Parametric equations and its first integrals for Birkhoffian systems in the event space

研究事件空间中Birkhoff系统动力学.在(2n+1)维事件空间中,建立了Birkhoff系统的Pfaff-Birkhoff-d’Alembert原理和Birkhoff参数方程,研究了方程的第一积分,给出了第一积分及其存在条件.

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 （2 n ＋ 1 ） dimensions. The first integrals of the parametric equations and the conditions for their existence are presented.