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给出了Birkhoff系统的一类新型守恒量。首先,建立了Birkhoff系统的运动方程及其Mei对称性的定义和判据;其次,给出了系统的一类新型守恒量的存在定理,并导出了用于确定无限小生成元的广义Killing方程;最后,建立了守恒定理的逆定理
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关键词:
- Birkhoff系统 /
- Mei对称性 /
- 守恒量 /
- Killing方程
This paper gives a new type of conserved quantities for Birkhoffian systems. First, the equations of motion of the systems are established, and the definitions and criterions of Mei symmetries are given. Next, an existence theorem for the n ew type of conserved quantities of the systems is given, and the generalized Killing equations used to determine the infinitesimal generators are deduced. Finally, the inverse theorem of the conservation law is established.-
Keywords:
- Birkhoffian system /
- Mei symmetry /
- conserved quantity /
- Killing equation
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