Form invariance for systems of generalized classical mechanics |
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| Authors: | Zhang Yi and Mei Feng-Xiang |
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| Affiliation: | Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China; Department of Applied Mechanics, Beijing Institute of Technology, Beijing 100081, China |
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| 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. |
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| Keywords: | system of generalized classical mechanics canonical equation form invariance Lie symmetry Noether symmetry |
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