|
|
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 |
|
|
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.
|
Received: 15 October 2009
Revised: 03 November 2009
Accepted manuscript online:
|
PACS:
|
45.20.Jj
|
(Lagrangian and Hamiltonian mechanics)
|
|
02.30.Jr
|
(Partial differential equations)
|
|
Fund: 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. |
Cite this article:
Mei Feng-Xiang(梅凤翔) and Wu Hui-Bin(吴惠彬) Form invariance and new conserved quantity of generalised Birkhoffian system 2010 Chin. Phys. B 19 050301
|
[1] |
Santilli R M 1983 Foundations of Theoretical Mechanics II (New York: Springer-Verlag)
|
[2] |
Mei F X, Shi R C, Zhang Y F and Wu H B 1996 Dynamics of Birkhoffian System (Beijing: Beijing Institute of Technology Press) (in Chinese)
|
[3] |
Galiullin A S, Gafarov G G, Malaishka R P and Khwan A M 1997 Analytical Dynamics of Helmholtz, Birkhoff and Nambu Systems (Moscow: UFN) (in Russian)
|
[4] |
Mei F X 1993 Sci. China Ser. A 36 1456
|
[5] |
Mei F X 2001 Int. J. Non-Linear Mech. 36 817
|
[6] |
Guo Y X, Luo S K, Shang M and Mei F X 2001 Rep. Math. Phys. 47 313
|
[7] |
Chen X W 2002 Global Analysis of Birkhoffian System (Kaifeng: Henan Univ. Press) (in Chinese)
|
[8] |
Zhang H B 2001 Acta Phys. Sin. 50 1837 (in Chinese)
|
[9] |
Luo S K, Chen X W and Guo Y X 2002 Chin. Phys. 11 429
|
[10] |
Zhang Y 2002 Chin. Phys. 11 437
|
[11] |
Fu J L, Chen L Q and Xue Y 2003 Acta Phys. Sin. 52 256 (in Chinese)
|
[12] |
Xu X J, Mei F X and Qin M C 2004 Chin. Phys. 13 1999
|
[13] |
Mei F X, Gang T Q and Xie J F 2006 Chin. Phys. 15 1678
|
[14] |
Shang M, Guo Y X and Mei F X 2007 Chin. Phys. 16 292
|
[15] |
Ge W K and Mei F X 2007 Acta Phys. Sin. 56 2479 (in Chinese)
|
[16] |
Mei F X, Zhang Y F, He G, Xie J F and Gang T Q 2007 J. Beijing Institute of Technology 27 1035 (in Chinese)
|
[17] |
Mei F X and Cai J L 2008 Acta Phys. Sin. 57 4657 (in Chinese)
|
[18] |
Mei F X, Xie J F and Gang T Q 2008 Acta Mech. Sin. 24 583
|
[19] |
Ge W K and Mei F X 2009 Acta Phys. Sin. 58 702 (in Chinese)
|
[20] |
Shang M and Mei F X 2009 Chin. Phys. B 18 3155
|
[21] |
Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese)
|
No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|