Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System

FANG Jian-hui; CHEN Pei-sheng; ZHANG Jun

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FANG Jian-hui, CHEN Pei-sheng, ZHANG Jun. Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System[J]. Applied Mathematics and Mechanics, 2005, 26(2): 187-192.

Citation:

FANG Jian-hui, CHEN Pei-sheng, ZHANG Jun. Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System[J]. Applied Mathematics and Mechanics, 2005, 26(2): 187-192.

Citation:

FANG Jian-hui, CHEN Pei-sheng, ZHANG Jun. Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System[J]. Applied Mathematics and Mechanics, 2005, 26(2): 187-192.

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Form Invariance and Lie Symmetry of Variable Mass Nonholonomic Mechanical System

Department of Applied Physics, University of Petroleum, Dongying, Shangdong 257061, P. R. China

Received Date: 2003-03-10
Rev Recd Date: 2004-09-24
Publish Date: 2005-02-15

Abstract

Abstract

The form invariance and Lie symmetry of a variable mass nonholonomic mechanical system is studied.The definition and the criterion and the conserved quantity of form invariance and Lie symmetry for the variable mass nonholonomic mechanical system are given.The relation between the form invariance and Lie symmetry is obtained.An example is given to illustrate the application of the result.
- variable mass,
- nonholonomic system,
- form invariance,
- Lie symmetry

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References(18)

References

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