Stability for manifolds of equilibrium states of generalized Birkhoff system

doi:10.1088/1674-1056/19/8/080302

中国物理B ›› 2010, Vol. 19 ›› Issue (8): 80302-080302.doi: 10.1088/1674-1056/19/8/080302

Stability for manifolds of equilibrium states of generalized Birkhoff system

李彦敏, 梅凤翔

Department of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000, China

收稿日期:2009-11-23 修回日期:2009-12-15 出版日期:2010-08-15 发布日期:2010-08-15
基金资助:
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), and the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics, China.

Stability for manifolds of equilibrium states of generalized Birkhoff system

Li Yan-Min(李彦敏)^a)† and Mei Feng-Xiang(梅凤翔)^b)

^aDepartment of Physics and Information Engineering, Shangqiu Normal University, Shangqiu 476000, China; ^b Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China

Received:2009-11-23 Revised:2009-12-15 Online:2010-08-15 Published:2010-08-15
Supported by:
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), and the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics, China.

摘要/Abstract

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.

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 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.

Key words: generalized Birkhoff system, manifold of equilibrium states, stability

中图分类号: (Manifolds and cell complexes)

02.40.Sf

02.30.Jr (Partial differential equations)

李彦敏, 梅凤翔. Stability for manifolds of equilibrium states of generalized Birkhoff system[J]. 中国物理B, 2010, 19(8): 80302-080302.

Li Yan-Min(李彦敏) and Mei Feng-Xiang(梅凤翔). Stability for manifolds of equilibrium states of generalized Birkhoff system[J]. Chin. Phys. B, 2010, 19(8): 80302-080302.

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Stability for manifolds of equilibrium states of generalized Birkhoff system

Stability for manifolds of equilibrium states of generalized Birkhoff system

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