Type of integral and reduction for a generalized Birkhoffian system

doi:10.1088/1674-1056/20/10/104501

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 104501-104501.doi: 10.1088/1674-1056/20/10/104501

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇下一篇

Type of integral and reduction for a generalized Birkhoffian system

吴惠彬, 梅凤翔

Faculty of Science, Beijing Institute of Technology, Beijing 100081, China

收稿日期:2011-03-15 修回日期:2011-04-24 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10772025, 10932002, and 10972031) and the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics.

Type of integral and reduction for a generalized Birkhoffian system

Wu Hui-Bin(吴惠彬)^† and Mei Feng-Xiang(梅凤翔)

Faculty of Science, Beijing Institute of Technology, Beijing 100081, China

Received:2011-03-15 Revised:2011-04-24 Online:2011-10-15 Published:2011-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10772025, 10932002, and 10972031) and the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics.

摘要/Abstract

摘要： This paper studies a type of integral and reduction of the generalized Birkhoffian system. An existent condition and the form of the integral are obtained. By using the integral, the dimension of the system can be reduced two degrees. An example is given to illustrate the application of the results.

Abstract: This paper studies a type of integral and reduction of the generalized Birkhoffian system. An existent condition and the form of the integral are obtained. By using the integral, the dimension of the system can be reduced two degrees. An example is given to illustrate the application of the results.

Key words: generalized Birkhoffian system, integral, reduction

中图分类号: (Lagrangian and Hamiltonian mechanics)

45.20.Jj

11.30.-j (Symmetry and conservation laws)

吴惠彬, 梅凤翔. Type of integral and reduction for a generalized Birkhoffian system[J]. 中国物理B, 2011, 20(10): 104501-104501.

Wu Hui-Bin(吴惠彬) and Mei Feng-Xiang(梅凤翔) . Type of integral and reduction for a generalized Birkhoffian system[J]. Chin. Phys. B, 2011, 20(10): 104501-104501.

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Type of integral and reduction for a generalized Birkhoffian system

Type of integral and reduction for a generalized Birkhoffian system

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