Unified symmetry of mechanico-electrical systems

Li Yuan-Cheng; Xia Li-Li; Zhao Wei; Hou Qi-Bao; Wang Jing; Jing Hong-Xing

doi:10.7498/aps.56.5037

Abstract
The unified symmetry of mechanico-electrical systems are studied in this paper. The definition and criterion of unified symmetry of mechanico-electrical systems are derived from the Lagrange-Maxwell equations. The Noether conserved quantity, Hojman conserved quantity and a new conserved quantity deduced from the unified symmetry are obtained. An example is given to illustrate the application of the results.

Keywords:
mechanico-electrical systems /

unified symmetry /

conserved quantity
Authors and contacts
Li Yuan-Cheng,

Xia Li-Li,

Zhao Wei,

Hou Qi-Bao,

Wang Jing,

Jing Hong-Xing

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

Cited By

[1]	Zheng Shi-Wang, Wang Jian-Bo, Chen Xiang-Wei, Li Yan-Min, Xie Jia-Fang. Lie symmetry and their conserved quantities of Tznoff equations for the vairable mass nonholonomic systems. Acta Physica Sinica, 2012, 61(11): 111101. doi: 10.7498/aps.61.111101
[2]	Zhang Bin, Fang Jian-Hui, Zhang Ke-Jun. Symmetry and conserved quantity of Lagrangians for nonholonomic variable mass system. Acta Physica Sinica, 2012, 61(2): 021101. doi: 10.7498/aps.61.021101
[3]	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
[4]	Li Yuan-Cheng, Xia Li-Li, Wang Xiao-Ming, Liu Xiao-Wei. Lie-Mei symmetry and conserved quantities of Appell equation for a holonomic mechanical system. Acta Physica Sinica, 2010, 59(6): 3639-3642. doi: 10.7498/aps.59.3639
[5]	Li Yuan-Cheng, Wang Xiao-Ming, Xia Li-Li. Unified symmetry and conserved quantities of Nielsen equation for a holonomic mechanical system. Acta Physica Sinica, 2010, 59(5): 2935-2938. doi: 10.7498/aps.59.2935
[6]	Zhang Yi. Birkhoff symmetries and conserved quantities of generalized Birkhoffian systems. Acta Physica Sinica, 2009, 58(11): 7436-7439. doi: 10.7498/aps.58.7436
[7]	Li Yuan-Cheng, Xia Li-Li, Wang Xiao-Ming. Unified symmetry of mechanico-electrical systems with nonholonomic constraints of non-Chetaev’s type. Acta Physica Sinica, 2009, 58(10): 6732-6736. doi: 10.7498/aps.58.6732
[8]	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
[9]	Lou Zhi_Mei. The study of symmetries and conserved quantities for one class of linearly coupled multidimensional freedom systems. Acta Physica Sinica, 2007, 56(5): 2475-2478. doi: 10.7498/aps.56.2475
[10]	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
[11]	Ding Ning, Fang Jian-Hui, Zhang Peng-Yu, Wang Peng. Unified symmetry of Poincaré-Chetaev equations. Acta Physica Sinica, 2006, 55(12): 6197-6202. doi: 10.7498/aps.55.6197
[12]	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
[13]	Zheng Shi-Wang, Fu Jing-Li, Li Xian-Hui. Momentum-dependent symmetries and non-Noether conserved quantities for mechanico-electrical systems. Acta Physica Sinica, 2005, 54(12): 5511-5516. doi: 10.7498/aps.54.5511
[14]	Xu Xue-Jun, Mei Feng-Xiang. Unified symmetry of the holonomic system in terms of quasi-coordinates. Acta Physica Sinica, 2005, 54(12): 5521-5524. doi: 10.7498/aps.54.5521
[15]	Zhang Yi, Mei Feng-Xiang. Effects of constraints on Noether symmetries and conserved quantities in a Birkhoffian system. Acta Physica Sinica, 2004, 53(8): 2419-2423. doi: 10.7498/aps.53.2419
[16]	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*
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[18]	Zhang Yi. . Acta Physica Sinica, 2002, 51(3): 461-464. doi: 10.7498/aps.51.461
[19]	Li Yuan-Cheng, Zhang Yi, Liang Jing-Hui. . Acta Physica Sinica, 2002, 51(10): 2186-2190. doi: 10.7498/aps.51.2186
[20]	MEI FENG-XIANG. LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONHOLONOMIC SYSTEMS WITH SERVOCONSTR AINTS. Acta Physica Sinica, 2000, 49(7): 1207-1210. doi: 10.7498/aps.49.1207

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Vol. 56, Issue 9 - 2007-05-05

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