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研究Lagrange系统Mei对称性的Ⅲ型结构方程和Ⅲ型Mei守恒量. 在群的无限小变换下，由Lagrange系统Mei对称性的定义和判据，得到Lagrange系统Mei对称性的Ⅲ型结构方程和Ⅲ型Mei守恒量. 举例说明结果的应用.
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关键词:
- Lagrange系统 /
- Mei对称性 /
- Ⅲ型结构方程 /
- Ⅲ型Mei守恒量
Type Ⅲ structural equation and Mei conserved quantity of Mei symmetry for a Lagrangian system are studied. Under the infinitesimal transformation of groups, type Ⅲ structural equation and Mei conserved quantity of Mei symmetry for a Lagrangian system are obtained from the definition and the criterion of Mei symmetry for a Lagrangian system. Finally, an example is given to illustrate the application of the results.-
Keywords:
- Lagrangian system /
- Mei symmetry /
- type Ⅲ structural equation /
- type Ⅲ Mei conserved quantity
[1] ［1］Mei F X 2000 J.Beijing Inst.Technol. 9 120
[2] ［2］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）］
[3] ［3］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）］
[4] ［4］Jia L Q,Xie J F, Zheng S W 2008 Chin.Phys. B 17 0017
[5] ［5］Ding N, Fang J H 2008 Chin.Phys. B 17 1550
[6] ［6］Jia L Q,Xie J F, Luo S K 2008 Chin.Phys. B 17 1560
[7] ［7］Zhang M J,Fang J H,Zhang X N, Lu K 2008 Chin.Phys. B 17 1957
[8] ［8］Fang J H,Liu Y K, Zhang X N 2008 Chin.Phys. B 17 1962
[9] ［9］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］
[10] ］Ge W K 2008 Acta Phys.Sin.57 6714 (in Chinese)［葛伟宽 2008 57 6714］
[11] ］Cai J L 2009 Acta Phys.Sin.58 22(in Chinese)［蔡建乐 2009 58 22］
[12] ］Wang P,Fang J H, Wang X M 2009 Chin.Phys. B 18 1312
[13] ］Cui J C,Zhang Y Y, Jia L Q 2009 Chin.Phys. B 18 1731
[14] ］Cui J C,Jia L Q, Yang X F 2009 J. Henan Norm. Univ. (Natural Science) 37(2) 70(in Chinese)［崔金超、贾利群、杨新芳 2009 河南师范大学学报(自然科学版)37(2) 70］
[15] ］Cui J C, Zhang Y Y, Yang X F, Jia L Q 2010 Chin.Phys. B 19 030304-1
[16] ］Pang T, Fang J H, Zhang M J, Lin P, Lu K 2009 Chin.Phys. B 18 3150
[17] ］Fang J H 2009 Acta Phys.Sin.58 3617 (in Chinese)［方建会 2009 58 3617］
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[1] ［1］Mei F X 2000 J.Beijing Inst.Technol. 9 120
[2] ［2］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）］
[3] ［3］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）］
[4] ［4］Jia L Q,Xie J F, Zheng S W 2008 Chin.Phys. B 17 0017
[5] ［5］Ding N, Fang J H 2008 Chin.Phys. B 17 1550
[6] ［6］Jia L Q,Xie J F, Luo S K 2008 Chin.Phys. B 17 1560
[7] ［7］Zhang M J,Fang J H,Zhang X N, Lu K 2008 Chin.Phys. B 17 1957
[8] ［8］Fang J H,Liu Y K, Zhang X N 2008 Chin.Phys. B 17 1962
[9] ［9］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］
[10] ］Ge W K 2008 Acta Phys.Sin.57 6714 (in Chinese)［葛伟宽 2008 57 6714］
[11] ］Cai J L 2009 Acta Phys.Sin.58 22(in Chinese)［蔡建乐 2009 58 22］
[12] ］Wang P,Fang J H, Wang X M 2009 Chin.Phys. B 18 1312
[13] ］Cui J C,Zhang Y Y, Jia L Q 2009 Chin.Phys. B 18 1731
[14] ］Cui J C,Jia L Q, Yang X F 2009 J. Henan Norm. Univ. (Natural Science) 37(2) 70(in Chinese)［崔金超、贾利群、杨新芳 2009 河南师范大学学报(自然科学版)37(2) 70］
[15] ］Cui J C, Zhang Y Y, Yang X F, Jia L Q 2010 Chin.Phys. B 19 030304-1
[16] ］Pang T, Fang J H, Zhang M J, Lin P, Lu K 2009 Chin.Phys. B 18 3150
[17] ］Fang J H 2009 Acta Phys.Sin.58 3617 (in Chinese)［方建会 2009 58 3617］
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