Lie Symmetries and Conserved Quantities of Second-Order Nonholonomic Mechanical System

FANG Jian-hui

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(9): 982-986

FANG Jian-hui. Lie Symmetries and Conserved Quantities of Second-Order Nonholonomic Mechanical System[J]. Applied Mathematics and Mechanics, 2002, 23(9): 982-986.

Citation:

FANG Jian-hui. Lie Symmetries and Conserved Quantities of Second-Order Nonholonomic Mechanical System[J]. Applied Mathematics and Mechanics, 2002, 23(9): 982-986.

Citation:

FANG Jian-hui. Lie Symmetries and Conserved Quantities of Second-Order Nonholonomic Mechanical System[J]. Applied Mathematics and Mechanics, 2002, 23(9): 982-986.

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Lie Symmetries and Conserved Quantities of Second-Order Nonholonomic Mechanical System

FANG Jian-hui

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

Received Date: 2000-11-26
Rev Recd Date: 2002-01-31
Publish Date: 2002-09-15

Abstract

Abstract

The Lie symmetries and the conserved quantities of the second-order nonholonomic mechanical system are studied. Firstly, by using the invariance of the differential equation of motion under the infinitesimal transformations, the determining equations and the restriction equations of the Lie symmetries of the system are established, and the structure equation and the conservative quantities of the Lie symmetries are obtained. Secondly, the inverse problems of the Lie symmetries are studied. Finally, an example is given to illustrate the application of the result.
- second-order nonholonomic system,
- Lie symmetry,
- conserved quantity

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References(12)

References

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