Form invariance and new conserved quantity of generalised Birkhoffian system

doi:10.1088/1674-1056/19/5/050301

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50301-050301.doi: 10.1088/1674-1056/19/5/050301

Form invariance and new conserved quantity of generalised Birkhoffian system

梅凤翔, 吴惠彬

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

收稿日期:2009-10-15 修回日期:2009-11-03 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10772025, 10932002) and the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics.

Form invariance and new conserved quantity of generalised Birkhoffian system

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

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

Received:2009-10-15 Revised:2009-11-03 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos.~10772025, 10932002) and the Beijing Municipal Key Disciplines Fund for General Mechanics and Foundation of Mechanics.

摘要/Abstract

摘要： A form invariance and a conserved quantity of the generalised Birkhoffian system are studied. Firstly, a definition and a criterion of the form invariance are given. Secondly, through the form invariance, a new conserved quantity can be deduced. Finally, an example is given to illustrate the application of the result.

Abstract: A form invariance and a conserved quantity of the generalised Birkhoffian system are studied. Firstly, a definition and a criterion of the form invariance are given. Secondly, through the form invariance, a new conserved quantity can be deduced. Finally, an example is given to illustrate the application of the result.

Key words: generalised Birkhoffian system, form invariance, conserved quantity

中图分类号: (Lagrangian and Hamiltonian mechanics)

45.20.Jj

02.30.Jr (Partial differential equations)

梅凤翔, 吴惠彬. Form invariance and new conserved quantity of generalised Birkhoffian system[J]. 中国物理B, 2010, 19(5): 50301-050301.

Mei Feng-Xiang(梅凤翔) and Wu Hui-Bin(吴惠彬). Form invariance and new conserved quantity of generalised Birkhoffian system[J]. Chin. Phys. B, 2010, 19(5): 50301-050301.

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Form invariance and new conserved quantity of generalised Birkhoffian system

Form invariance and new conserved quantity of generalised Birkhoffian system

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