Stability for manifolds of equilibrium states of generalized Birkhoff system

被引：19
作者：
Li Yan-Min [1 ]
Mei Feng-Xiang [2 ]
机构：
[1] Shangqiu Normal Univ, Dept Phys & Informat Engn, Shangqiu 476000, Peoples R China
[2] Beijing Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China
来源：
CHINESE PHYSICS B | 2010年 / 19卷 / 08期
基金：
中国国家自然科学基金;
关键词：
generalized Birkhoff system; manifold of equilibrium states; stability; INTEGRAL INVARIANTS; NOETHERS THEORY; SYMMETRY; PERTURBATION; DYNAMICS;
D O I：
10.1088/1674-1056/19/8/080302
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
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 Birkhoffian 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.
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页数：3
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