广义Birkhoff自治系统的平衡稳定性

Equilibrium Stability of Generalized Birkhoff’s Autonomous System

摘要: 研究广义Birkhof自治系统的平衡稳定性问题.首先建立了广义Birkhof自治系统的平衡方程,然后研究平衡状态稳定性的一次近似方法和直接法,并应用Ляпунов定理得到了广义Birkhof自治系统平衡稳定性的一些结果.最后举例说明了这些结果的应用.
- 广义Birkhoff系统 /
- 平衡状态 /
- 稳定性
Abstract: In this paper,equilibrium stability of generalized Birkhoff's autonomous system is discussed.First,equilibrium equations of generalized Birkhoff's Autonomous system are set up,and then the linear approximate method and direct method of stability in equilibrium state are studied. Some results on equilibrium of generalized Birkhoff's autonomous system are obtained on the basis of Lyapunov's thorem.Last,the application of the results is illustrated with an example.
- generalized Birkhoff’s system /
- equilibrium state /
- stability

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