EQUILIBRIUM STABILITY OF GENERALIZED BIRKHOFF’S AUTONOMOUS SYSTEM

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (5): 564-567.

EQUILIBRIUM STABILITY OF GENERALIZED BIRKHOFF’S AUTONOMOUS SYSTEM

徐振铎¹, 刘尔烈²

1. Tianjin Institute of Urban Construction, Tianjin 300381, P.R.China;
2. Tianjin University, Tianjin 300072, P.R.China

收稿日期:1997-11-01 修回日期:1998-09-20 出版日期:1999-05-18 发布日期:1999-05-18
通讯作者: Zhang Hongqing

EQUILIBRIUM STABILITY OF GENERALIZED BIRKHOFF’S AUTONOMOUS SYSTEM

Xu Zhenduo¹, Liu Erlie²

1. Tianjin Institute of Urban Construction, Tianjin 300381, P.R.China;
2. Tianjin University, Tianjin 300072, P.R.China

Received:1997-11-01 Revised:1998-09-20 Online:1999-05-18 Published:1999-05-18

摘要/Abstract

摘要： 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 the n 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.

关键词: generalized Birkhoff’s system, equilibrium state, stability

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 the n 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.

Key words: generalized Birkhoff’s system, equilibrium state, stability

徐振铎;刘尔烈. EQUILIBRIUM STABILITY OF GENERALIZED BIRKHOFF’S AUTONOMOUS SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(5): 564-567.

Xu Zhenduo;Liu Erlie. EQUILIBRIUM STABILITY OF GENERALIZED BIRKHOFF’S AUTONOMOUS SYSTEM[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(5): 564-567.

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EQUILIBRIUM STABILITY OF GENERALIZED BIRKHOFF’S AUTONOMOUS SYSTEM

EQUILIBRIUM STABILITY OF GENERALIZED BIRKHOFF’S AUTONOMOUS SYSTEM

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