广义Birkhoff系统的时间积分定理

Time-integral theorems for generalized Birkhoff system

研究了广义Birkhoff系统的时间积分定理.给出系统的时间积分等式,并由此等式导出类能量方程、类维里定理、一个积分变分原理和一个微分变分原理.

The purpose of this paper is to study the time-integral theorems for a generalized Birkhoff system. A time-integral identity of the system is presented. A power-like equation, a Virial-like theorem, an integral variational principle and a differential variational principle for the system are deduced by using the time-integral identity.