Skew-gradient representation of generalized Birkhoffian system

doi:10.1088/1674-1056/24/10/104502

中国物理B ›› 2015, Vol. 24 ›› Issue (10): 104502-104502.doi: 10.1088/1674-1056/24/10/104502

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Skew-gradient representation of generalized Birkhoffian system

梅凤翔^a, 吴惠彬^b

a School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
b School of Mathematics, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2015-02-28 修回日期:2015-05-15 出版日期:2015-10-05 发布日期:2015-10-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11272050).

Skew-gradient representation of generalized Birkhoffian system

Mei Feng-Xiang (梅凤翔)^a, Wu Hui-Bin (吴惠彬)^b

a School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China;
b School of Mathematics, Beijing Institute of Technology, Beijing 100081, China

Received:2015-02-28 Revised:2015-05-15 Online:2015-10-05 Published:2015-10-05
Contact: Wu Hui-Bin E-mail:huibinwu@bit.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11272050).

摘要/Abstract

摘要：

The skew-gradient representation of a generalized Birkhoffian system is studied. A condition under which the generalized Birkhoffian system can be considered as a skew-gradient system is obtained. The properties of the skew-gradient system are used to study the properties, especially the stability, of the generalized Birkhoffian system. Some examples are given to illustrate the application of the result.

关键词: generalized Birkhoffian system, skew-gradient system, Lyapunov function, stability

Abstract:

Key words: generalized Birkhoffian system, skew-gradient system, Lyapunov function, stability

中图分类号: (Lagrangian and Hamiltonian mechanics)

45.20.Jj

11.30.-j (Symmetry and conservation laws)

梅凤翔, 吴惠彬. Skew-gradient representation of generalized Birkhoffian system[J]. 中国物理B, 2015, 24(10): 104502-104502.

Mei Feng-Xiang (梅凤翔), Wu Hui-Bin (吴惠彬). Skew-gradient representation of generalized Birkhoffian system[J]. Chin. Phys. B, 2015, 24(10): 104502-104502.

参考文献 16

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Skew-gradient representation of generalized Birkhoffian system

Skew-gradient representation of generalized Birkhoffian system

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