Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type

doi:10.1088/1674-1056/19/3/030303

Abstract This paper studies the symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type. First, the definition and the criterion of the symmetry of the system are given. Secondly, it obtains the condition under which there exists a conserved quantity and the form of the conserved quantity. Finally, an example is shown to illustrate the application of the result.

Keywords: nonholonomic system non-Chetaev's type constraint symmetry of Lagrangians conserved quantity

Received: 17 April 2009
Revised: 09 May 2009
Accepted manuscript online:

PACS:	45.20.Jj	(Lagrangian and Hamiltonian mechanics)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~10932002 and 10772025), and the Fund for Fundamental Research of Beijing Institute of Technology.

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Wu Hui-Bin(吴惠彬) and Mei Feng-Xiang(梅凤翔) Symmetry of Lagrangians of nonholonomic systems of non-Chetaev's type 2010 Chin. Phys. B 19 030303

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