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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 |
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Abstract 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.
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Received: 28 February 2015
Revised: 15 May 2015
Accepted manuscript online:
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PACS:
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45.20.Jj
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(Lagrangian and Hamiltonian mechanics)
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11.30.-j
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(Symmetry and conservation laws)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11272050). |
Corresponding Authors:
Wu Hui-Bin
E-mail: huibinwu@bit.edu.cn
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Cite this article:
Mei Feng-Xiang (梅凤翔), Wu Hui-Bin (吴惠彬) Skew-gradient representation of generalized Birkhoffian system 2015 Chin. Phys. B 24 104502
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