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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 |
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JIA Li-Qun, CUI Jin-Chao, LUO Shao-Kai et al 2009 Chin. Phys. Lett. 26 030303 |
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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.
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| Keywords:
03.20.+i
11.30.-j
45.20.Jj
02.20.Sv
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Received: 06 October 2008
Published: 19 February 2009
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