Conformal Invariance for the Nonholonomic System of Chetaev’s Type With Variable Mass

HUANG Wei-li; CAI Jian-le

doi:10.3879/j.issn.1000-0887.2012.11.005

Volume 33 Issue 11

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HUANG Wei-li, CAI Jian-le. Conformal Invariance for the Nonholonomic System of Chetaev’s Type With Variable Mass[J]. Applied Mathematics and Mechanics, 2012, 33(11): 1294-1303. doi: 10.3879/j.issn.1000-0887.2012.11.005

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Conformal Invariance for the Nonholonomic System of Chetaev’s Type With Variable Mass

doi: 10.3879/j.issn.1000-0887.2012.11.005

HUANG Wei-li^{1,2
,},
CAI Jian-le²

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

Received Date: 2012-03-21
Rev Recd Date: 2012-06-21
Publish Date: 2012-11-15

Abstract

Abstract

Conformal invariance and conserved quantities for the nonholonomic system of Chetaev’s type with variable mass were studied. The conformal factor expressions were deduced. The necessary and sufficient conditions that the system’s conformal invariance would be Lie symmetry were obtained. The conformal invariance of weak and strong Lie symmetry for the system was given. And the system’s corresponding conserved quantities were derived. Lastly, an example was taken to illustrate the application of the result.
- nonholonomic system,
- variable mass,
- conformal invariance,
- conserved quantity

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References

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