Title: New non-Noether conserved quantities of mechanical system in phase space
Abstract: This paper focuses on studying non-Noether conserved quantities of Lie symmetry and of form invariance for a mechanical system in phase space under the general infinitesimal transformation of groups. We obtain a new non-Noether conserved quantity of Lie symmetry of the system, and Hojman and Mei's results are of special cases of our conclusion. We find a condition under which the form invariance of the system will lead to a Lie symmetry, and, further, obtain a new non-Noether conserved quantity of form invariance of the system. An example is given finally to illustrate these results.
Publication Year: 2006
Publication Date: 2006-09-21
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 2
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