Stability for manifolds of equilibrium states of generalized Birkhoff system  

作　　者：李彦敏 梅凤翔 

机构地区：[1]Department of Physics and Information Engineering,Shangqiu Normal University [2]Department of Applied Mechanics,Beijing Institute of Technology

出　　处：《Chinese Physics B》2010年第8期85-87,共3页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.10772025,10932002 and 10972127);the Natural Science Foundation of Henan Province,China(Grant No.102300410144);the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics,China

摘　　要：Stability for the manifolds of equilibrium states of a generalized Birkhoff system is studied. A theorem for the stability of the manifolds of equilibrium states of the general autonomous system is used to the generalized BirkhoiYian system and two propositions on the stability of the manifolds of equilibrium states of the system are obtained. An example is given to illustrate the application of the results.Stability for the manifolds of equilibrium states of a generalized Birkhoff system is studied. A theorem for the stability of the manifolds of equilibrium states of the general autonomous system is used to the generalized BirkhoiYian system and two propositions on the stability of the manifolds of equilibrium states of the system are obtained. An example is given to illustrate the application of the results.

关 键 词：generalized Birkhoff system manifold of equilibrium states STABILITY 

分 类 号：O317[理学—一般力学与力学基础]