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Abstract
A novel type of Mei adiabatic invariant induced by perturbation to Mei symmetry for nonholonomic mechanical system is reported. The form of criteria and restriction equations for Mei symmetry after being disturbed are given. The new form and conditions of the Mei adiabatic invariant are obtained.

Keywords:
nonholonomic mechanical system/

Mei symmetry/

perturbation/

Mei adiabatic invariant
Authors and contacts
Ding Ning¹,

Fang Jian-Hui²
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]	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
[3]	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
[4]	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
[5]	Huang Xiao-Hong, Zhang Xiao-Bo, Shi Shen-Yang.The Mei symmetry of discrete difference sequence mechanical system with variable mass. Acta Physica Sinica, 2008, 57(10): 6056-6062.doi:10.7498/aps.57.6056
[6]	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
[7]	Jia Li-Qun, Zheng Shi-Wang, Zhang Yao-Yu.Mei symmetry and Mei conserved quantity of nonholonomic systems of non-Chetaev’s type in event space. Acta Physica Sinica, 2007, 56(10): 5575-5579.doi:10.7498/aps.56.5575
[8]	Jing Hong-Xing, Li Yuan-Cheng, Xia Li-Li.Perturbation of Lie symmetries and a type of generalized Hojman adiabatic invariants for variable mass systems with unilateral holonomic constraints. Acta Physica Sinica, 2007, 56(6): 3043-3049.doi:10.7498/aps.56.3043
[9]	Zhang Yi.Perturbation of symmetries and Hojman adiabatic invariants of discrete mechanical systems in the phase space. Acta Physica Sinica, 2007, 56(4): 1855-1859.doi:10.7498/aps.56.1855
[10]	Xia Li-Li, Li Yuan-Cheng.Perturbation to symmetries and adiabatic invariant for nonholonomic controllable mechanical system in phase place. Acta Physica Sinica, 2007, 56(11): 6183-6187.doi:10.7498/aps.56.6183
[11]	Fang Jian-Hui, Ding Ning, Wang Peng.Noether-Lie symmetry of non-holonomic mechanical system. Acta Physica Sinica, 2006, 55(8): 3817-3820.doi:10.7498/aps.55.3817
[12]	Zhang Yi, Fan Cun-Xin, Mei Feng-Xiang.Perturbation of symmetries and Hojman adiabatic invariants for Lagrangian system. Acta Physica Sinica, 2006, 55(7): 3237-3240.doi:10.7498/aps.55.3237
[13]	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
[14]	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
[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]	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
[17]	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
[18]	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
[19]	Zhang Yi, Mei Feng-Xiang.Perturbation to symmetries and adiabatic invariant for systems of generalized c lassical mechanics. Acta Physica Sinica, 2003, 52(10): 2368-2372.doi:10.7498/aps.52.2368
[20]	Zhang Yi.. Acta Physica Sinica, 2002, 51(8): 1666-1670.doi:10.7498/aps.51.1666

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Vol. 58, Issue 11 - 2009-06-05

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