A kind of conserved quantity of Mei symmetry for Lagrange system

Fang Jian-Hui

doi:10.7498/aps.58.3617

Abstract
A kind of conserved quantity which is directly induced by Mei symmetry of Lagrange system is studied. The definition and criterion of Mei symmetry for Lagrange system are given. The condition under which Mei symmetry can lead to a conserved quantity and the form of the conserved quantity are obtained. An example is given to illustrate the application of the result.

Keywords:
Lagrange system /

Mei symmetry /

conserved quantity
Authors and contacts
Fang Jian-Hui

1.
中国石油大学物理科学与技术学院，东营 257061
References

Cited By

[1]	Huang Wei-Li. Inverse problem of Mei symmetry for a general holonomic system. Acta Physica Sinica, 2015, 64(17): 170202. doi: 10.7498/aps.64.170202
[2]	Han Yue-Lin, Wang Xiao-Xiao, Zhang Mei-Ling, Jia Li-Qun. A type of the new exact and approximate conserved quantity deduced from Mei symmetry for a weakly nonholonomic system. Acta Physica Sinica, 2013, 62(11): 110201. doi: 10.7498/aps.62.110201
[3]	Sun Xian-Ting, Han Yue-Lin, Wang Xiao-Xiao, Zhang Mei-Ling, Jia Li-Qun. A type of new conserved quantity of Mei symmetry for Appell equations in a holonomic system. Acta Physica Sinica, 2012, 61(20): 200204. doi: 10.7498/aps.61.200204
[4]	Jiang Wen-An, Luo Shao-Kai. Mei symmetry leading to Mei conserved quantity of generalized Hamiltonian system. Acta Physica Sinica, 2011, 60(6): 060201. doi: 10.7498/aps.60.060201
[5]	Liu Xiao-Wei, Li Yuan-Cheng. Another kind of conserved quantity induced by Mei symmetry of mechanico-electrical system. Acta Physica Sinica, 2011, 60(11): 111102. doi: 10.7498/aps.60.111102
[6]	Liu Yang-Kui. A kind of conserved quantity of Mei symmetry for general holonomic mechanical systems. Acta Physica Sinica, 2010, 59(1): 7-10. doi: 10.7498/aps.59.7
[7]	Zheng Shi-Wang, Xie Jia-Fang, Chen Xiang-Wei, Du Xue-Lian. Another kind of conserved quantity induced directly from Mei symmetry of Tzénoff equations for holonomic systems. Acta Physica Sinica, 2010, 59(8): 5209-5212. doi: 10.7498/aps.59.5209
[8]	Jia Li-Qun, Zhang Yao-Yu, Yang Xin-Fang, Cui Jin-Chao, Xie Yin-Li. Type Ⅲ structural equation and Mei conserved quantity of Mei symmetry for a Lagrangian system. Acta Physica Sinica, 2010, 59(5): 2939-2941. doi: 10.7498/aps.59.2939
[9]	Cai Jian-Le. Conformal invariance and conserved quantities of Mei symmetry for general holonomic systems. Acta Physica Sinica, 2009, 58(1): 22-27. doi: 10.7498/aps.58.22
[10]	Jia Li-Qun, Luo Shao-Kai, Zhang Yao-Yu. Mei symmetry and Mei conserved quantity of Nielsen equation for a nonholonomic system. Acta Physica Sinica, 2008, 57(4): 2006-2010. doi: 10.7498/aps.57.2006
[11]	Cai Jian-Le, Mei Feng-Xiang. Conformal invariance and conserved quantity of Lagrange systems under Lie point transformation. Acta Physica Sinica, 2008, 57(9): 5369-5373. doi: 10.7498/aps.57.5369
[12]	Ge Wei-Kuan. Mei symmetry and conserved quantity of a holonomic system. Acta Physica Sinica, 2008, 57(11): 6714-6717. doi: 10.7498/aps.57.6714
[13]	Zheng Shi-Wang, Jia Li-Qun. Mei symmetry and conserved quantity of Tzénoff equations for nonholonomic systems. Acta Physica Sinica, 2007, 56(2): 661-665. doi: 10.7498/aps.56.661
[14]	Wu Hui-Bin, Mei Feng-Xiang. Symmetries of Lagrange system subjected to gyroscopic forces. Acta Physica Sinica, 2005, 54(6): 2474-2477. doi: 10.7498/aps.54.2474
[15]	Fang Jian-Hui, Liao Yong-Pan, Peng Yong. Tow kinds of Mei symmeties and conserved quantities of a mechanical system in phase space. Acta Physica Sinica, 2005, 54(2): 500-503. doi: 10.7498/aps.54.500
[16]	Zhang Yi. Symmetries and Mei conserved quantities for systems of generalized classical mechanics. Acta Physica Sinica, 2005, 54(7): 2980-2984. doi: 10.7498/aps.54.2980
[17]	Fang Jian-Hui, Peng Yong, Liao Yong-Pan. On Mei symmetry of Lagrangian system and Hamiltonian system. Acta Physica Sinica, 2005, 54(2): 496-499. doi: 10.7498/aps.54.496
[18]	Zhang Yi, Fan Cun-Xin, Ge Wei-Kuan. A new type of conserved quantities for Birkhoffian systems. Acta Physica Sinica, 2004, 53(11): 3644-3647. doi: 10.7498/aps.53.3644*
[19]	Li Hong, Fang Jian-Hui. Mei symmetry of variable mass systems with unilateral holonomic constraints. Acta Physica Sinica, 2004, 53(9): 2807-2810. doi: 10.7498/aps.53.2807
[20]	Luo Shao-Kai. Mei symmetry, Noether symmetry and Lie symmetry of Hamiltonian system. Acta Physica Sinica, 2003, 52(12): 2941-2944. doi: 10.7498/aps.52.2941

Catalog

Vol. 58, Issue 6 - 2009-03-20

Metrics

Abstract views: 7894
PDF Downloads: 862
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

A kind of conserved quantity of Mei symmetry for Lagrange system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

A kind of conserved quantity of Mei symmetry for Lagrange system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About