Mei symmetry and Mei conserved quantity of Nielsen equation for a nonholonomic system

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Abstract
Mei symmetry and Mei conserved quantity of Nielsen equation with multipliers for a nonholonomic， non-conservative system of Chetaev's type are studied- The differential equations of motion of Nielsen equation with multipliers for the system，the definition and criterion of Mei symmetry，and the condition and the form of Mei conserved quantity deduced directly by Mei symmetry for the system are obtained- An example is given to illustrate the application of the results-

Keywords:
nonholonomic systems /

Nielsen equation /

Mei symmetry /

Mei conserved quantity
Authors and contacts
Jia Li-Qun¹,

Luo Shao-Kai³,

Zhang Yao-Yu²

(1)江南大学理学院，无锡 214122; (2)平顶山学院电气信息工程学院，平顶山 467002; (3)浙江理工大学数学力学与数学物理研究所，杭州 310018
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