Noether symmetry and Hojman conserved quantity for nonholonomic mechanical systems

Luo Shao-Kai; Guo Yong-Xin; Mei Feng-Xiang

doi:10.7498/aps.53.1270

Abstract
A nonNoether conserved quantity, i. e. Hojman conserved quantity constructed using the Noether symmetry for the nonholonomic mechanical system is presented. Under special infinitesimal transformations in which the time is not variable, the special Noether symmetry and Noether conserved quantity are given, and the condition under which the special Noether symmetry is a special Lie symmetry is obtained. From the special Noether symmetry, the Hojman conserved quantity of the corresponding holonomic system, the weakly Hojman conserved quantity and the strongly Hojman conserved quantity of the nonholonomic systems are obtained. An example is given to illustrate the application of the result.

Keywords:
analytical mechanics, nonholonomic system, special Noether symmetry, nonNoether conserved quantity, Hojman conserved quantity /

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Authors and contacts
Luo Shao-Kai³,

Guo Yong-Xin²,

Mei Feng-Xiang¹

(1)北京理工大学理学院,北京 100081; (2)辽宁大学物理系,沈阳 110036; (3)浙江工程学院数学力学与数学物理研究所，杭州 310018
References

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Vol. 53, Issue 5 - 2004-03-05

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