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Abstract
The Mei symmetry, i.e. the form invariance, of an Emden system is studied. The definition and determining equation of Mei symmetry in the Emden system are given. The relations between the Mei symmetry,the Lie symmetry and the Noether symmetry are studied, and the conserved quantities of the Emden system are obtained. An example is given to illustrate the application of the results.

Keywords:
Emden system/

Mei symmetry/

Noether symmetry/

Lie symmetry
Authors and contacts
Gu Shu-Long²,

Zhang Hong-Bin¹
References

Cited By

[1]	Wang Fei-Fei, Fang Jian-Hui, Wang Ying-Li, Xu Rui-Li.Noether symmetry and Mei symmetry of a discrete holonomic mechanical system with variable mass. Acta Physica Sinica, 2014, 63(17): 170202.doi:10.7498/aps.63.170202
[2]	Zhang Yi, Jin Shi-Xin.Noether symmetries of dynamics for non-conservative systems with time delay. Acta Physica Sinica, 2013, 62(23): 234502.doi:10.7498/aps.62.234502
[3]	Lou Zhi-Mei.The study of conserved quantities and symmetries for two-dimensional isotropic harmonic charged oscillator moving in homogeneous magnetic field. Acta Physica Sinica, 2013, 62(22): 220201.doi:10.7498/aps.62.220201
[4]	Liu Hong-Wei, Li Ling-Fei, Yang Shi-Tong.Conformal invariance, Mei symmetry and the conserved quantity of the Kepler equation. Acta Physica Sinica, 2012, 61(20): 200202.doi:10.7498/aps.61.200202
[5]	Jia Li-Qun, Sun Xian-Ting, Zhang Mei-Ling, Wang Xiao-Xiao, Xie Yin-Li.A type of new conserved quantity of Mei symmetry for Nielsen equations. Acta Physica Sinica, 2011, 60(8): 084501.doi:10.7498/aps.60.084501
[6]	Luo Shao-Kai, Jia Li-Qun, Xie Yin-Li.Mei conserved quantity deduced from Mei symmetry of Appell equation in a dynamical system of relative motion. Acta Physica Sinica, 2011, 60(4): 040201.doi:10.7498/aps.60.040201
[7]	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
[8]	Liu Chang, Zhao Yong-Hong, Chen Xiang-Wei.Geometric representation of Noether symmetry for dynamical systems. Acta Physica Sinica, 2010, 59(1): 11-14.doi:10.7498/aps.59.11
[9]	Gu Shu-Long, Zhang Hong-Bin.Noether symmetry and the Hojman conserved quantity of the Kepler equation. Acta Physica Sinica, 2010, 59(2): 716-718.doi:10.7498/aps.59.716
[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]	Lou Zhi-Mei.The study of symmetries and conserved quantities for one-dimensional damped-amplified harmonic oscillators. Acta Physica Sinica, 2008, 57(3): 1307-1310.doi:10.7498/aps.57.1307
[12]	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
[13]	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
[14]	Ge Wei-Kuan.Mei symmetries of a type of dynamical equations. Acta Physica Sinica, 2007, 56(1): 1-4.doi:10.7498/aps.56.1
[15]	Zhang Yi, Ge Wei-Kuan.A new conservation law from Mei symmetry for the relativistic mechanical system. Acta Physica Sinica, 2005, 54(4): 1464-1467.doi:10.7498/aps.54.1464
[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]	Gu Shu-Long, Zhang Hong-Bin.Mei symmetry, Noether symmetry and Lie symmetry of a Vacco system. Acta Physica Sinica, 2005, 54(9): 3983-3986.doi:10.7498/aps.54.3983
[18]	Fang Jian-Hui, Chen Pei-Sheng, Zhang Jun, Li Hong.Form invariance and Lie symmetry of relativistic mechanical system. Acta Physica Sinica, 2003, 52(12): 2945-2948.doi:10.7498/aps.52.2945
[19]	Fang Jian-Hui, Yan Xiang-Hong, Chen Pei-Sheng.Form invariance and Noether symmetry of a relativistic mechanical system. Acta Physica Sinica, 2003, 52(7): 1561-1564.doi:10.7498/aps.52.1561
[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

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Vol. 55, Issue 11 - 2006-06-05

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