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A New type of conserved quantity induced by Mei symmetry of Appell equations for a holonomic system is studied. The definition and the criterion of Mei symmetry of Appell equations for a holonomic system are given. A new type of conserved quantity induced by Mei symmetry of Appell equations expressed by Appell functions is obtained. And an example is given to illustrate the application of the results.
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Keywords:
- Appell equation /
- Mei symmetry /
- new type of conserved quantity
[1] Noether A E 1918 Math. Phys. KI, II 235
[2] Vujanovi Dc＇ B 1986 Acta Mech. 65 63
[3] Mei F X 2003 Acta Phys. Sin. 52 1048 (in Chinese) [梅凤翔 2003 52 1048]
[4] Fu J L, Chen L Q 2003 Chin. Phys.12 695
[5] Chen X W, Mei F X 2000 Chin. Phys. 9 721
[6] Zhang Y, Mei F X 2000 Chin. Sci. Bull. 45 1354
[7] Guo Y X, Jiang L Y, Yu Y 2001 Chin. Phys. 10 181
[8] Zhang H B 2002 Chin. Phys. 11 1
[9] Wu H B 2005 Chin. Phys. 14 452
[10] Li Y C, Jing H X, Xia L L, Wang J, Hou Q B 2007 Chin. Phys. 16 2154
[11] Mei F X 2000 J. Beijing Inst. Technol. 9 120
[12] 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)]
[13] 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)]
[14] Jia L Q, Xie J F, Luo S K 2008 Chin. Phys. B 17 1560
[15] Ge W K 2008 Acta Phys. Sin. 57 6714 (in Chinese)[葛伟宽 2008 57 6714] 〖16] Cai J L 2009 Acta Phys. Sin. 58 22(in Chinese) [蔡建乐 2009 58 22]
[16] Wang P, Fang J H, Wang X M 2009 Chin. Phys. B 18 1312
[17] Fang J H 2009 Acta Phys.Sin.. 58 3617 (in Chinese) [方建会 2009 58 3617]
[18] Cui J C, Zhang Y Y, Jia L Q 2009 Chin. Phys. B 18 1731
[19] Yang X F, Jia L Q, Cui J C, Luo S K 2010 Chin. Phys. B 19 030305
[20] Cui J C, Zhang Y Y, Yang X F, Jia L Q 2010 Chin. Phys. B 19 030304
[21] Mei F X 2001 Chin. Phys.10 177
[22] Li R J, Qiao Y F, Meng J 2002 Acta Phys. Sin. 51 1 (in Chinese)[李仁杰、乔永芬、孟 军 2002 51 1]
[23] Luo S K 2002 Acta Phys. Sin. 51 712 (in Chinese) [罗绍凯 2002 51 712]
[24] Jia L Q, Xie J F, Zheng S W 2008 Chin. Phys. B 17 0017
[25] Cui J C, Jia L Q, Yang X F 2009 J. Henan Norm Univ. 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]
[26] Jia L Q, Zhang Y Y, Cui J C 2009 Yunnan Univ. 31 52(in Chinese) [贾利群、张耀宇、崔金超 2009 云南大学学报31 52]
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[1] Noether A E 1918 Math. Phys. KI, II 235
[2] Vujanovi Dc＇ B 1986 Acta Mech. 65 63
[3] Mei F X 2003 Acta Phys. Sin. 52 1048 (in Chinese) [梅凤翔 2003 52 1048]
[4] Fu J L, Chen L Q 2003 Chin. Phys.12 695
[5] Chen X W, Mei F X 2000 Chin. Phys. 9 721
[6] Zhang Y, Mei F X 2000 Chin. Sci. Bull. 45 1354
[7] Guo Y X, Jiang L Y, Yu Y 2001 Chin. Phys. 10 181
[8] Zhang H B 2002 Chin. Phys. 11 1
[9] Wu H B 2005 Chin. Phys. 14 452
[10] Li Y C, Jing H X, Xia L L, Wang J, Hou Q B 2007 Chin. Phys. 16 2154
[11] Mei F X 2000 J. Beijing Inst. Technol. 9 120
[12] 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)]
[13] 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)]
[14] Jia L Q, Xie J F, Luo S K 2008 Chin. Phys. B 17 1560
[15] Ge W K 2008 Acta Phys. Sin. 57 6714 (in Chinese)[葛伟宽 2008 57 6714] 〖16] Cai J L 2009 Acta Phys. Sin. 58 22(in Chinese) [蔡建乐 2009 58 22]
[16] Wang P, Fang J H, Wang X M 2009 Chin. Phys. B 18 1312
[17] Fang J H 2009 Acta Phys.Sin.. 58 3617 (in Chinese) [方建会 2009 58 3617]
[18] Cui J C, Zhang Y Y, Jia L Q 2009 Chin. Phys. B 18 1731
[19] Yang X F, Jia L Q, Cui J C, Luo S K 2010 Chin. Phys. B 19 030305
[20] Cui J C, Zhang Y Y, Yang X F, Jia L Q 2010 Chin. Phys. B 19 030304
[21] Mei F X 2001 Chin. Phys.10 177
[22] Li R J, Qiao Y F, Meng J 2002 Acta Phys. Sin. 51 1 (in Chinese)[李仁杰、乔永芬、孟 军 2002 51 1]
[23] Luo S K 2002 Acta Phys. Sin. 51 712 (in Chinese) [罗绍凯 2002 51 712]
[24] Jia L Q, Xie J F, Zheng S W 2008 Chin. Phys. B 17 0017
[25] Cui J C, Jia L Q, Yang X F 2009 J. Henan Norm Univ. 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]
[26] Jia L Q, Zhang Y Y, Cui J C 2009 Yunnan Univ. 31 52(in Chinese) [贾利群、张耀宇、崔金超 2009 云南大学学报31 52]
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