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Lie symmetries and conserved quantities of Birkhoff systems with unilateral constraints |
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| Authors: | Zhang Hong-Bin and Gu Shu-Long |
| Affiliation: | Department of Physics, Chaohu Teachers College, Chaohu 238000, China |
| Abstract: | In this paper we study the Lie symmetries of Birkhoff systems with unilateral constraints. We give the conditions for, and the form of, conserved quantities due to the Lie symmetries of the systems, and we also study the inverse problem of the Lie symmetries of the systems. Finally, an example is given to illustrate the application of the results. |
| Keywords: | analytical mechanics Birkhoff systems with unilateral constraints Lie symmetry conserved quantity inverse problem |
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