Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms

Sun Xian-Ting; Zhang Yao-Yu; Xue Xi-Chang; Jia Li-Qun

doi:10.7498/aps.64.064502

Abstract

Form invariance and Mei conserved quantity for generalized Hamilton systems after adding additional terms are studied. By introducing infinitesimal transformation group and its infinitesimal transformation vector of generators, the definition and determining equations of the Mei symmetry for generalized Hamilton systems after adding additional terms are provided. By means of the structure equation satisfied by the gauge function, the Mei conserved quantity corresponding to the form invariance for the system is derived. Finally an illustrative example is given to verify the results.

Keywords:

Authors and contacts

1.
School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China;
2.
School of Science, Jiangnan University, Wuxi 214122, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 11142014).

References

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[16]	Luo S K, Li L 2013 Nonlinear Dyn. 73 639
[17]	Luo S K, Li L 2013 Nonlinear Dyn. 73 339
[18]	Li L, Luo S k 2013 Acta Mech. 224 1757
[19]	Luo S K, Li Z J, Wang P, Li L 2013 Acta Mech. 224 71

Cited By

[1]	Noether A E 1918 Math. Phys. 2 235
[2]	Mei F X 1993 Sci. China A 36 1456
[3]	Lou Z M, Mei F X, Chen Z D 2012 Acta Phys. Sin. 61 110204 (in Chinese) [楼智美, 梅凤翔, 陈子栋 2012 61 110204]
[4]	Luo S K, Li Z J, Li L 2012 Acta Mech. 223 2621
[5]	Li Z J, Luo S K 2012 Nonlinear Dyn. 70 1117
[6]	Jia L Q, Sun X T, Zhang M L, Zhang Y Y, Han Y L 2014 Acta Phys. Sin. 63 010201 (in Chinese) [贾利群, 孙现亭, 张美玲, 张耀宇, 韩月林 2014 63 010201]
[7]	Fang J H, Zhang B, Zhang W W, Xu R L 2012 Chin. Phys. B 21 050202
[8]	Zheng S W, Zhang Q H, Xie J F 2007 Chin. Phys. Lett. 24 2164
[9]	Jia L Q, Wang X X, Zhang M L, Han Y L 2012 Nonlinear Dyn. 69 1807
[10]	Cai J L, Luo S K, Mei F X 2008 Chin. Phys. B 17 3170
[11]	Cai J L, Shi S S, Fang H J, Xu J 2012 Meccanica 47 63
[12]	Huang W L, Cai J L 2012 Acta Mech. 223 433
[13]	Chen X W, Liu C, Mei F X 2008 Chin. Phys. B 17 3180
[14]	Zhang Y Y, Zhang F, Han Y L, Jia LQ 2014 Nonlinear Dyn. 77 521
[15]	Jia L Q, Zheng S W 2006 Acta Phys. Sin. 55 3829 (in Chinese) [贾利群, 郑世旺 2006 55 3829]
[16]	Luo S K, Li L 2013 Nonlinear Dyn. 73 639
[17]	Luo S K, Li L 2013 Nonlinear Dyn. 73 339
[18]	Li L, Luo S k 2013 Acta Mech. 224 1757
[19]	Luo S K, Li Z J, Wang P, Li L 2013 Acta Mech. 224 71

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Catalog

Vol. 64, Issue 6 - 2015-03-20

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