Equilibrium stability of generalized Birkhoff's autonomous system

被引：0
作者：
Xu Zhenduo
Liu Erlie
机构：
[1] Tianjin Institute of Urban Construction,
[2] Tianjin University,undefined
来源：
Applied Mathematics and Mechanics | 1999年 / 20卷 / 5期
关键词：
generalized Birkhoff's system; equilibrium state; stability;
D O I：
10.1007/BF02463754
中图分类号：
学科分类号：
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 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.
引用
收藏
页码：564 / 567
页数：3
相关论文
共 8 条
  • [1] Fengxiang Mei(1993)Noether's theory of Birkhoffian systems [J] Science in China (Series A) 23 709-717
  • [2] Fengxiang Mei(1992)Inverse problem of dynamics of Birkhoff's systems[J] J Beijing Normal Institute (Natural Science) 13 32-36
  • [3] Fengxiang Mei(1993)Stability of equilibrium for Birkhoff's autonomous system[J] Chinese Science Bulletin 38 311-313
  • [4] Rongchang Shi(1994)On the stability of the motion of a Birkhoff's system[J] Mechanics Research Communications 21 269-272
  • [5] Fengxiang Mei(1995)Transformation theory of generalized Birkhoff's system[J] Chinese Science Bulletin 40 885-888
  • [6] Haiping Zhu(undefined)undefined undefined undefined undefined-undefined
  • [7] Huibin Wu(undefined)undefined undefined undefined undefined-undefined
  • [8] Fengxiang Mei(undefined)undefined undefined undefined undefined-undefined
1