Abstract In this paper, the Lie-form invariance of the Lagrange system is studied. The definition and the criterion of the Lie-form invariance of the Lagrange system are given. The Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained. Finally, two examples are presented to illustrate the application of the results.
Received: 20 August 2004
Revised: 18 October 2004
Accepted manuscript online:
PACS:
45.20.Jj
(Lagrangian and Hamiltonian mechanics)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10272021).
Cite this article:
Wu Hui-Bin (吴惠彬) Lie-form invariance of the Lagrange system 2005 Chinese Physics 14 452
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