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A symmetry and a conserved quantity for the Birkhoff system
Authors:Mei Feng-Xiang  Gang Tie-Qiang and Xie Jia-Fang
Affiliation:Department of Mechanics, Beijing Institute of Technology, Beijing 100081, China
Abstract:A symmetry and a conserved quantity of the Birkhoff system are studied. The symmetry is called the Birkhoff symmetry. Its definition and criterion are given in this paper. A conserved quantity can be deduced by using the symmetry. An example is given to illustrate the application of the result.
Keywords:Birkhoff system  symmetry  conserved quantity
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