Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints

doi:10.1088/1674-1056/21/5/050201

中国物理B ›› 2012, Vol. 21 ›› Issue (5): 50201-050201.doi: 10.1088/1674-1056/21/5/050201

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Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints

王肖肖¹,孙现亭²,张美玲¹,韩月林¹,贾利群¹

1. School of Science, Jiangnan University, Wuxi 214122, China;
2. School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China

收稿日期:2011-11-22 修回日期:2012-04-27 出版日期:2012-04-01 发布日期:2012-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11142014 and 61178032).

Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints

Wang Xiao-Xiao(王肖肖)^a), Sun Xian-Ting(孙现亭)^b), Zhang Mei-Ling(张美玲)^a), Han Yue-Lin(韩月林)^a), and Jia Li-Qun(贾利群)^a)†

a. School of Science, Jiangnan University, Wuxi 214122, China;
b. School of Electric and Information Engineering, Pingdingshan University, Pingdingshan 467002, China

Received:2011-11-22 Revised:2012-04-27 Online:2012-04-01 Published:2012-04-01
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11142014 and 61178032).

摘要/Abstract

摘要： The Mei symmetry and the Mei conserved quantity of Appell equations in a dynamical system of relative motion with non-Chetaev nonholonomic constraints are studied. The differential equations of motion of the Appell equation for the system, the definition and the criterion of the Mei symmetry, and the expression of the Mei conserved quantity deduced directly from the Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.

关键词: non-Chetaev nonholonomic constrained system, dynamics of relative motion, Appell equation, Mei conserved quantity

Abstract: The Mei symmetry and the Mei conserved quantity of Appell equations in a dynamical system of relative motion with non-Chetaev nonholonomic constraints are studied. The differential equations of motion of the Appell equation for the system, the definition and the criterion of the Mei symmetry, and the expression of the Mei conserved quantity deduced directly from the Mei symmetry for the system are obtained. An example is given to illustrate the application of the results.

Key words: non-Chetaev nonholonomic constrained system, dynamics of relative motion, Appell equation, Mei conserved quantity

中图分类号: (Lie algebras of Lie groups)

02.20.Sv

11.30.-j (Symmetry and conservation laws) 45.20.Jj (Lagrangian and Hamiltonian mechanics)

王肖肖, 孙现亭, 张美玲, 韩月林, 贾利群. Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints[J]. 中国物理B, 2012, 21(5): 50201-050201.

Wang Xiao-Xiao(王肖肖), Sun Xian-Ting(孙现亭), Zhang Mei-Ling(张美玲), Han Yue-Lin(韩月林), and Jia Li-Qun(贾利群) . Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints[J]. Chin. Phys. B, 2012, 21(5): 50201-050201.

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Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints

Mei symmetry and Mei conserved quantity of the Appell equation in a dynamical system of relative motion with non-Chetaev nonholonomic constraints

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