GENERAL |
|
|
|
|
Special Lie Symmetry and Hojman Conserved Quantity of Appell Equations for a Holonomic System |
JIA Li-Qun1, CUI Jin-Chao1, LUO Shao-Kai2, YANG Xin-Fang1 |
1School of Science, Jiangnan University, Wuxi 2141222Institute of Mathematical Mechanics and Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018 |
|
Cite this article: |
JIA Li-Qun, CUI Jin-Chao, LUO Shao-Kai et al 2009 Chin. Phys. Lett. 26 030303 |
|
|
Abstract Special Lie symmetry and Hojman conserved quantity of Appell equations for a holonomic system are studied. Appell equations and differential equations of motion for holonomic mechanic systems are established. Under special Lie nfinitesimal transformations in which the time is invariable, the determining equation of the special Lie symmetry and the expressions of Hojman conserved quantity for Appell equations of holonomic systems are presented. Finally, an example is given to illustrate the application of the results.
|
Keywords:
03.20.+i
11.30.-j
45.20.Jj
02.20.Sv
|
|
Received: 06 October 2008
Published: 19 February 2009
|
|
|
|
|
|
[1] Noether A E 1918 Nachr. Akad. Wiss. G\"{ottingen. Math. Phys. K I 235 [2] Vujanovi\'c B 1978 Int. J. Non-linear Mech. 13185 [3] Lutzky M 1979 J. Phys. A: Math. Gen. 12973 [4] Lutzky M 1979 Phys. Lett. A 72 86 [5] Lutzky M 1979 Phys. Lett. A 75 8 [6] Vujanovi\'c B 1986 Acta Mech. 65 63 [7] Mei Fengxiang 2000 Acta Phys. Sin. 49 1207(in Chinese) [8] Zhang Y and Xue Y 2001 Acta Phys. Sin. 50816 (in Chinese) [9] Zhang H B 2002 Chin. Phys. 11 1 [10] Luo S K 2003 Acta Phys. Sin. 52 2941 (inChinese) [11] Fang J H, Zhang P Y 2004 Acta Phys. Sin. 534041 (in Chinese) [12] Fu J L, Chen L Q and Xie F P 2004 Chin. Phys. 13 1611 [13] Gu S L, Zhang H B 2005 Acta Phys. Sin. 543983 (in Chinese) [14] Ge W K, Zhang Y 2005 Acta Phys. Sin. 544985 (in Chinese) [15] Xu X J, Mei F X and Zhang Y F 2006 Chin. Phys. 15 19 [16] Lou Z M 2006 Chin. Phys. 15 891 [17] Jia L Q, Zhang Y Y and Zheng S W 2007 Acta Phys.Sin. 56 649 (in Chinese) [18] Xie J F, Gang T Q and Mei F X 2008 Chin. Phys. B 17 390 [19] Luo S K, Zhang Y F et al 2008 Advances in theStudy of Dynamics of Constrained Systems (Beijing: Science Press)(in Chinese) [20] Mei F X 2001 Chin. Phys. 10 177 [21] Li R J, QiaoY F and Meng J 2002 Acta Phys. Sin. 51 1 (in Chinese) [22] Luo S K 2002 Acta Phys. Sin. 51 712 (inChinese) [23] Jia L Q, Zhang Y Y and Zheng S W 2007 J. YunnanUniv. 29 589 (in Chinese) [24] Jia L Q, Xie J F and Zheng S W 2008 Chin. Phys.B 17 17 |
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|