| Lie symmetries, perturbation to symmetries and adiabatic invariants of Poincaré equations |
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| 引用本文： | 陈向炜,刘翠梅,李彦敏.Lie symmetries, perturbation to symmetries and adiabatic invariants of Poincaré equations[J].中国物理 B,2006,15(3):470-474. |
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| 作者姓名： | 陈向炜 刘翠梅 李彦敏 |
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| 作者单位： | Department of Physics, Shangqiu Teachers College, Shangqiu
476000, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 10372053) and the Natural Science Foundation of Henan Province, China (Grant No 0311010900). |
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| 摘 要： | Based on the invariance of differential equations under infinitesimal
transformations, Lie symmetry, laws of conservations, perturbation to the
symmetries and adiabatic invariants of Poincaré equations are presented.The concepts of Lie symmetry and higher order adiabatic invariants of Poincar\'{e} equations are proposed. The conditions for existence of the exact invariants and adiabatic invariants are proved, and their forms are also given. In addition, an example is presented to illustrate these results.
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| 关 键 词： | Poincaré equations perturbation to symmetry exact invariant adiabatic invariant |
| 收稿时间： | 2005-10-25 |
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