Mei conserved quantities for systems with unilateral non-Chetaev nonholonomic constraints in the event space

Jia Li-Qun; Luo Shao-Kai; Zhang Yao-Yu

doi:10.7498/aps.56.6188

Abstract
Mei symmetry and Mei conserved quantity for a system with unilateral non-Chetaev nonholonomic constraints in the event space are studied. The differential equations of motion of the system are established. The definition and the criteria of Mei symmetry, weakly Mei symmetry, strongly Mei symmetry for the system are given in this paper. The existence condition and the expression of Mei conserved quantity are deduced directly from Mei symmetry. An example is given to illustrate the application of the results.

Keywords:
event space /

unilateral constraint /

nonholonomic system /

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
References

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Vol. 56, Issue 11 - 2007-06-05

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Mei conserved quantities for systems with unilateral non-Chetaev nonholonomic constraints in the event space

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