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A type of new conserved quantity of Mei symmetry of Nielsen equations for a holonomic system is studied. Under the infinitesimal transformation of groups, new structural equation and new conserved quantity of Mei symmetry of Nielsen equations for a holonomic system are obtained from the definition and the criterion of Mei symmetry of Nielsen equations. Finally, an example is given to illustrate the application of the results.
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Keywords:
- Nielsen equation /
- Mei symmetry /
- new structural equation /
- new conserved quantity
[1] Noether A E 1918 Math. Phys. Kl, II 235
[2] Mei F X 2000 J. Beijing Inst. Technol. 9 120
[3] [4] Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese)[梅凤翔 2004 约束力学系统的对称性与守恒量 (北京: 北京理工大学出版社)]
[5] [6] [7] Luo S K, Zhang Y F 2008 Advances in the Study of Dynamics of Constrained Systems (Beijing: Science Press) (in Chinese)[罗绍凯、张永发 2008 约束系统动力学研究进展 (北京: 科学出版社)]
[8] Jia L Q, Xie J F, Zheng S W 2008 Chin. Phys. B 17 17
[9] [10] Ding N, Fang J H 2008 Chin. Phys. B 17 1550
[11] [12] Jia L Q, Xie J F, Luo S K 2008 Chin. Phys. B 17 1560
[13] [14] Zhang M J, Fang J H, Zhang X N, Lu K 2008 Chin. Phys. B 17 1957
[15] [16] [17] Fang J H, Liu Y K, Zhang X N 2008 Chin. Phys. B 17 1962
[18] Huang X H, Zhang X B, Shi S Y 2008 Acta Phys. Sin. 57 6056 (in Chinese)[黄晓虹、张晓波、施沈阳 2008 57 6056]
[19] [20] [21] Ge W K 2008 Acta Phys. Sin. 57 6714 (in Chinese)[葛伟宽 2008 57 6714]
[22] Cai J L 2009 Acta Phys. Sin. 58 22 (in Chinese)[蔡建乐 2009 58 22]
[23] [24] [25] Wang P, Fang J H, Wang X M 2009 Chin. Phys. B 18 1312
[26] Cui J C, Zhang Y Y, Jia L Q 2009 Chin. Phys. B 18 1731
[27] [28] Cui J C, Jia L Q, Yang X F 2009 J. Henan Normal Univ. (Nat. Sci.) 37(2) 70 (in Chinese)[崔金超、贾利群、杨新芳 2009 河南师范大学学报 37(2) 70]
[29] [30] Jia L Q, Zhang Y Y, Yang X F, Cui J C, Xie Y L 2010 Acta Phys. Sin. 59 2939 (in Chinese)[贾利群、张耀宇、杨新芳、崔金超、解银丽 2010 59 2939]
[31] [32] Li Y C, Xia L L, Wang X M, Liu X W 2010 Acta Phys. Sin. 59 3639 (in Chinese)[李元成、夏丽莉、王小明、刘晓巍 2010 59 3639]
[33] [34] Zheng S W, Xie J F, Chen X W, Du X L 2010 Acta Phys. Sin. 59 5209 (in Chinese)[郑世旺、解加芳、陈向炜、杜雪莲 2010 59 5209]
[35] [36] Cui J C, Zhang Y Y, Yang X F, Jia L Q 2010 Chin. Phys. B 19 030304
[37] [38] [39] Yang X F, Jia L Q, Cui J C, Luo S K 2010 Chin. Phys. B 19 030305
[40] Jia L Q, Xie Y L, Zhang Y Y, Yang X F 2010 Chin. Phys. B 19 110301
[41] -
[1] Noether A E 1918 Math. Phys. Kl, II 235
[2] Mei F X 2000 J. Beijing Inst. Technol. 9 120
[3] [4] Mei F X 2004 Symmetries and Conserved Quantities of Constrained Mechanical Systems (Beijing: Beijing Institute of Technology Press) (in Chinese)[梅凤翔 2004 约束力学系统的对称性与守恒量 (北京: 北京理工大学出版社)]
[5] [6] [7] Luo S K, Zhang Y F 2008 Advances in the Study of Dynamics of Constrained Systems (Beijing: Science Press) (in Chinese)[罗绍凯、张永发 2008 约束系统动力学研究进展 (北京: 科学出版社)]
[8] Jia L Q, Xie J F, Zheng S W 2008 Chin. Phys. B 17 17
[9] [10] Ding N, Fang J H 2008 Chin. Phys. B 17 1550
[11] [12] Jia L Q, Xie J F, Luo S K 2008 Chin. Phys. B 17 1560
[13] [14] Zhang M J, Fang J H, Zhang X N, Lu K 2008 Chin. Phys. B 17 1957
[15] [16] [17] Fang J H, Liu Y K, Zhang X N 2008 Chin. Phys. B 17 1962
[18] Huang X H, Zhang X B, Shi S Y 2008 Acta Phys. Sin. 57 6056 (in Chinese)[黄晓虹、张晓波、施沈阳 2008 57 6056]
[19] [20] [21] Ge W K 2008 Acta Phys. Sin. 57 6714 (in Chinese)[葛伟宽 2008 57 6714]
[22] Cai J L 2009 Acta Phys. Sin. 58 22 (in Chinese)[蔡建乐 2009 58 22]
[23] [24] [25] Wang P, Fang J H, Wang X M 2009 Chin. Phys. B 18 1312
[26] Cui J C, Zhang Y Y, Jia L Q 2009 Chin. Phys. B 18 1731
[27] [28] Cui J C, Jia L Q, Yang X F 2009 J. Henan Normal Univ. (Nat. Sci.) 37(2) 70 (in Chinese)[崔金超、贾利群、杨新芳 2009 河南师范大学学报 37(2) 70]
[29] [30] Jia L Q, Zhang Y Y, Yang X F, Cui J C, Xie Y L 2010 Acta Phys. Sin. 59 2939 (in Chinese)[贾利群、张耀宇、杨新芳、崔金超、解银丽 2010 59 2939]
[31] [32] Li Y C, Xia L L, Wang X M, Liu X W 2010 Acta Phys. Sin. 59 3639 (in Chinese)[李元成、夏丽莉、王小明、刘晓巍 2010 59 3639]
[33] [34] Zheng S W, Xie J F, Chen X W, Du X L 2010 Acta Phys. Sin. 59 5209 (in Chinese)[郑世旺、解加芳、陈向炜、杜雪莲 2010 59 5209]
[35] [36] Cui J C, Zhang Y Y, Yang X F, Jia L Q 2010 Chin. Phys. B 19 030304
[37] [38] [39] Yang X F, Jia L Q, Cui J C, Luo S K 2010 Chin. Phys. B 19 030305
[40] Jia L Q, Xie Y L, Zhang Y Y, Yang X F 2010 Chin. Phys. B 19 110301
[41]
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