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A unified symmetry of lagrangian systems

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Abstract

In this paper, the definition and the criterion of a unified symmetry are presented. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, are obtained. Some examples are given to illustrate the application of the results.

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The project supported by the National Natural Science Foundation of China (10272021)

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Fengxiang, M., Xuejun, X. & Yongfa, Z. A unified symmetry of lagrangian systems. Acta Mech Sinica 20, 668–671 (2004). https://doi.org/10.1007/BF02485871

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  • DOI: https://doi.org/10.1007/BF02485871

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