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利用Birkhoff系统的守恒量来研究系统的稳定性.如果守恒量的组合能够成为Liapunov函数,便可用来研究系统的平衡稳定性和运动稳定性.
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关键词:
- Birkhoff系统 /
- 守恒量 /
- Liapunov稳定性
It is showed that Stability of Birkhoffian system can be determined by its conserved quantities. If a conserved quantity or a combination of some conserved quantities became a Liapunov function,then it can be used to study the stability of equilibrium and the stability of motion of the system.-
Keywords:
- Birkhoffian system /
- conserved quantity /
- Liapunov stability
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