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Chin. Phys., 2003, Vol. 12(10): 1058-1061    DOI: 10.1088/1009-1963/12/10/003
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Form invariance for systems of generalized classical mechanics

Mei Feng-Xianga, Zhang Yib
a Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China; b Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China
Abstract  This paper presents a form invariance of canonical equations for systems of generalized classical mechanics. According to the invariance of the form of differential equations of motion under the infinitesimal transformations, this paper gives the definition and criterion of the form invariance for generalized classical mechanical systems, and establishes relations between form invariance, Noether symmetry and Lie symmetry. At the end of the paper, an example is given to illustrate the application of the results.
Keywords:  Noether symmetry      canonical equation;form invariance      Lie symmetry      system of generalized classical mechanics  
Received:  19 March 2003      Revised:  19 April 2003      Published:  16 March 2005
PACS:  45.05.+x (General theory of classical mechanics of discrete systems)  
  02.30.Hq (Ordinary differential equations)  
  02.20.Sv (Lie algebras of Lie groups)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10272021) and the "Qing Lan" Project Foundation of Jiangsu Province, China.

Cite this article: 

Zhang Yi, Mei Feng-Xiang Form invariance for systems of generalized classical mechanics 2003 Chin. Phys. 12 1058

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