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Chin. Phys. B, 2008, Vol. 17(12): 4361-4364    DOI: 10.1088/1674-1056/17/12/004
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Lie symmetry and Hojman conserved quantity of Nambu system

Lin Peng (蔺鹏), Fang Jian-Hui (方建会), Pang Ting (庞婷)
College of Physics and Technology, China University of Petroleum, Dongying 257061, China
Abstract  This paper studies the Lie symmetry and Hojman conserved quantity of Nambu system. The determining equations of Lie symmetry for the system are given. The conditions for existence and the form of the Hojman conserved quantity led by the Lie symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results.
Keywords:  Nambu system      Lie symmetry      Hojman conserved quantity  
Received:  06 March 2008      Revised:  26 April 2008      Accepted manuscript online: 
PACS:  45.05.+x (General theory of classical mechanics of discrete systems)  
  02.20.Qs (General properties, structure, and representation of Lie groups)  

Cite this article: 

Lin Peng (蔺鹏), Fang Jian-Hui (方建会), Pang Ting (庞婷) Lie symmetry and Hojman conserved quantity of Nambu system 2008 Chin. Phys. B 17 4361

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