Original Articles |
|
|
|
|
large Last Multiplier of Generalized Hamilton System |
MEI Feng-Xiang, SHANG Mei |
School of Science, Beijing Institute of Technology, Beijing 100081 |
|
Cite this article: |
MEI Feng-Xiang, SHANG Mei 2008 Chin. Phys. Lett. 25 3837-3839 |
|
|
Abstract We study an application of the Jacobi last multiplier to a generalized Hamilton system. A partial differential equation on the last multiplier of the system is established. The last multiplier can be found by the equation. If the quantity of integrals of the system is sufficient, the solution of the system can be found by the last multiplier.
|
Keywords:
02.30.Hq
02.30.Ik
02.30.Rz
|
|
Received: 07 June 2008
Published: 25 October 2008
|
|
|
|
|
|
[1] Pauli W 1953 Nuovo Cimento 10 648 [2] Martin J L 1959 Proc. Roy. Soc. London A 251 536 [3] Liu D, Mei F X and Chen B 1992 Applications of Modern Mathematical Theory and Method to Dynamics, Vibration and Control (Beijing: Science Press) (in Chinese) [4] Li J B, Zhao X H and Liu Z R 1994 Theory and Application of Generalized Hamilton System (Beijing: Science Press) (in Chinese) [5] Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese) [6] Chen X W, Shang M and Mei F X 2001 Chin. Phys. 10 997 [7] Wang S Y and Mei F X 2002 Chin. Phys. 11 5 [8] Luo S K, Chen X W and Guo Y X 2002 Chin. Phys. 11 523 [9] Qiao Y F, Zhang Y L and Han G C 2002 Chin. Phys. 11 988 [10] Wu H B 2004 Chin. Phys. 13 589 [11] Fang J H, Liao Y P and Peng Y 2004 Chin. Phys. 13 1620 [12] Xu X J, Qin M C and Mei F X 2005 Chin. Phys. 14 1287 [13] Wu H B and Mei F X 2005 Chin. Phys. 14 2391 [14] Fu J L, Chen L Q and Chen X W 2006 Chin. Phys. 15 8 [15] Lou Z M 2006 Chin. Phys. 15 891 [16] Wu H B 2006 Chin. Phys. 15 899 [17] Zheng S W, Jia LQ and Yu H S 2006 Chin. Phys. 15 1399 [18] Mei F X, Gang T Q and Xie J F 2006 Chin. Phys. 15 1678 [19] Whittaker E T 1904 A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge: Cambridge University Press)
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|