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Lie-form invariance of non-holonomic systems with unilateral constraints |
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| Authors: | Wang Jing Li Yuan-Cheng Xia Li-Li and Hou Qi-Bao |
| Affiliation: | College of Physics Science and Technology, University of Petroleum (East China), Dongying 257061, China |
| Abstract: | In this paper the Lie-form invariance of the non-holonomic systems with unilateral constraints is studied. The definition and the criterion of the Lie-form invariance of the system are given. The generalized Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, an example is presented to illustrate the application of the results. |
| Keywords: | unilateral constraint non-holonomic system symmetry conserved quantity |
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