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.
| Original language | English |
|---|---|
| Pages (from-to) | 452-454 |
| Number of pages | 3 |
| Journal | Chinese Physics |
| Volume | 14 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 2005 |
Keywords
- Analytical mechanics
- Conserved quantity
- Lagrange system
- Symmetry
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Wu, H. B. (2005). Lie-form invariance of the Lagrange system. Chinese Physics, 14(3), 452-454. https://doi.org/10.1088/1009-1963/14/3/002