Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system

doi:10.1088/1674-1056/21/7/070204

中国物理B ›› 2012, Vol. 21 ›› Issue (7): 70204-070204.doi: 10.1088/1674-1056/21/7/070204

Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system

贾利群, 张美玲, 王肖肖, 韩月林

School of Science, Jiangnan University, Wuxi 214122, China

收稿日期:2011-11-26 修回日期:2011-12-22 出版日期:2012-06-01 发布日期:2012-06-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014 and 61178032).

Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system

Jia Li-Qun(贾利群)^†, Zhang Mei-Ling(张美玲), Wang Xiao-Xiao(王肖肖), and Han Yue-Lin(韩月林)

School of Science, Jiangnan University, Wuxi 214122, China

Received:2011-11-26 Revised:2011-12-22 Online:2012-06-01 Published:2012-06-01
Contact: Jia Li-Qun E-mail:jlq0000@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11142014 and 61178032).

摘要/Abstract

摘要： A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic system are studied. The Appell equations for the weakly nonholonomic system are established, and the definition and the criterion of form invariance of the system are given. The structure equation of form invariance for the weakly nonholonomic system and the approximate conserved quantity deduced from the form invariance of the system are obtained. Finally, an example is given to illustrate the application of the results.

关键词: weakly nonholonomic system, Appell equations, form invariance, approximate conserved quantity

Abstract: A weakly nonholonomic system is a nonholonomic system whose constraint equations contain a small parameter. The form invariance and the approximate conserved quantity of the Appell equations for a weakly nonholonomic system are studied. The Appell equations for the weakly nonholonomic system are established, and the definition and the criterion of form invariance of the system are given. The structure equation of form invariance for the weakly nonholonomic system and the approximate conserved quantity deduced from the form invariance of the system are obtained. Finally, an example is given to illustrate the application of the results.

Key words: weakly nonholonomic system, Appell equations, form invariance, approximate 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) 03.50.-z (Classical field theories)

贾利群, 张美玲, 王肖肖, 韩月林 . Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system[J]. 中国物理B, 2012, 21(7): 70204-070204.

Jia Li-Qun(贾利群), Zhang Mei-Ling(张美玲), Wang Xiao-Xiao(王肖肖), and Han Yue-Lin(韩月林) . Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system[J]. Chin. Phys. B, 2012, 21(7): 70204-070204.

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Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system

Form invariance and approximate conserved quantity of Appell equations for a weakly nonholonomic system

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