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A UNIFIED SYMMETRY OF LAGRANGIAN SYSTEMS

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【Author】 MEI Fengxiang XU Xuejun ZHANG Yongfa ~1(Department of Mechanics,Beijing Institute of Technology,Beijing 100081,China)~2(Department of Physics,Zhejiang Normal University,Jinhua 321004,China)

【机构】 Department of Mechanics,Beijing Institute of Technology,Beijing 100081,China； Department of Mechanics,Beijing Institute of Technology,Beijing 100081,China Department of Physics,Zhejiang Normal University,Jinhua 321004,China；

【摘要】 <正> In this paper,the definition and the criterion of a unified symmetry are presented.Anew 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 applicationof the results.更多还原

【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.更多还原

【关键词】 analytical mechanics； symmetry； conserved quantity；
【Key words】 analytical mechanics； symmetry； conserved quantity；

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

【文献出处】 Acta Mechanica Sinica ,力学学报(英文版) , 编辑部邮箱 ,2004年06期

【分类号】O316
【被引频次】15
【下载频次】59

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