Stability for manifolds of equilibrium states of generalized Birkhoff system

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 e...

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Published inChinese physics B Vol. 19; no. 8; pp. 85 - 87
Main Author 李彦敏 梅凤翔
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.08.2010
Subjects
Autonomous
Birkhoff系统
Manifolds
Stability
Theorems
平衡态
平衡状态
广义
流形
稳定性定理
自治系统
Online AccessGet full text
ISSN1674-1056
2058-3834
DOI10.1088/1674-1056/19/8/080302

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Abstract 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.
AbstractList 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.
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.
Author 李彦敏 梅凤翔
AuthorAffiliation Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000, China Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China
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Notes generalized Birkhoff system, manifold of equilibrium states, stability
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SubjectTerms Autonomous
Birkhoff系统
Manifolds
Stability
Theorems
平衡态
平衡状态
广义
流形
稳定性定理
自治系统
Title Stability for manifolds of equilibrium states of generalized Birkhoff system
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