Articles

Conformal invariance for nonholonomic system of Chetaev’s type with variable mass

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  • 1. Department of Physics and Telecom Engineering, Hunan City University, Yiyang 413000, Hunan Province, P. R. China;
    2. College of Science, Hangzhou Normal University, Hangzhou 310018, P. R. China

Received date: 2012-03-12

  Revised date: 2012-05-05

  Online published: 2012-11-10

Supported by

Project supported by the National Natural Science Foundation of China (No. 10932002) and the Natural Science Foundation of Zhejiang Province of China (No. LY12A02008)

Abstract

Conformal invariance and conserved quantities for a nonholonomic system of Chetaev’s type with variable mass are studied. The conformal factor expressions are derived. The necessary and sufficient conditions are obtained to make the system’s conformal invariance Lie symmetrical. The conformal invariance of the weak and strong Lie symmetries for the system is given. The corresponding conserved quantities of the system are derived. Finally, an application of the result is shown with an example.

Cite this article

Wei-li HUANG;Jian-le CAI . Conformal invariance for nonholonomic system of Chetaev’s type with variable mass[J]. Applied Mathematics and Mechanics, 2012 , 33(11) : 1393 -1402 . DOI: 10.1007/s10483-012-1631-7

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