Form invariance for systems of generalized classical mechanics
Zhang Yi (张毅)a, Mei Feng-Xiang (梅凤翔)b
a Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China; b Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, 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.
Received: 19 March 2003
Revised: 19 April 2003
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
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 (张毅), Mei Feng-Xiang (梅凤翔) Form invariance for systems of generalized classical mechanics 2003 Chinese Physics 12 1058
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