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Noether-Mei symmetry and conserved quantity of Birkhoffian system
Pages: 53-55
Year: Issue:  4
Journal: Acta Scientiarum Naturalium Universitatis Sunyatseni

Keyword:  Birkhoffian systemNoether-Mei symmetryNoether conserved quantityMei conserved quantity;
Abstract: The Noether-Mei symmetry and the conserved quantity of a Birkhoffian system are studied. The definition and the criteria of the Noether-Mei symmetry of the system are given.The conditions that the Noether-Mei symmetry leads to the Noether conserved quantity or the Mei conserved quantity and the form of the conserved quantities are obtained.Two theorems for the Noether-Mei symmetry and the con-served quantity are established.At the end,an example is given to illustrate the application of the re-sults.
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