相对论性Birkhoff系统的变分方程与积分不变量

The Variational Equations and the Integral Invariants for Relativistic Birkhoffian Systems

建立了相对论性 Birkhoff系统的变分方程 ,并且利用系统的 Birkhoff方程及其变分方程证明了可由第一积分直接构造该系统的一类积分不变量 .

This paper established the variational equations for relativistic Birkhoffian systems, and making use of the Birkhoff equations of the systems and their variational equations, the paper has proved that an integral invariant can be directly constructed by a first integral of the systems. In the paper, two examples are given to illustrate the application of the results.