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EQUILIBRIUM STABILITY OF GENERALIZED BIRKHOFF’S AUTONOMOUS SYSTEM

EQUILIBRIUM STABILITY OF GENERALIZED BIRKHOFF'S AUTONOMOUS SYSTEM
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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 st ate are studied. Some results on equilibrium of generalized Birkhoff's autonomou s system are obtained on the basis of Lyapunov's thorem. Last, the applica tion of the results is illustrated with an example. 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 st ate are studied. Some results on equilibrium of generalized Birkhoff's autonomou s system are obtained on the basis of Lyapunov's thorem. Last, the applica tion of the results is illustrated with an example.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1999年第5期102-105,共4页 应用数学和力学(英文版)
关键词 generalized Birkhoff's system equilibrium s tate STABILITY generalized Birkhoff's system equilibrium s tate stability
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