| Perturbation of Symmetries and Hojman Adiabatic Invariants for Mechanical Systems with Unilateral Holonomic Constraints |
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| 引用本文： | ZHANG Yi FAN Cun-Xin. Perturbation of Symmetries and Hojman Adiabatic Invariants for Mechanical Systems with Unilateral Holonomic Constraints[J]. 理论物理通讯, 2007, 47(4): 607-610 |
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| 作者姓名： | ZHANG Yi FAN Cun-Xin |
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| 作者单位： | Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China |
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| 基金项目： | The project supported by the Natural Science Foundation of High Education of Jiangsu Province under Grant No. 04KJA130135 |
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| 摘 要： |
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| 关 键 词： | 力学系统 单向完整约束 Hojman绝热不变量 对称 摄动 |
| 修稿时间： | 2006-05-092006-09-11 |
Perturbation of Symmetries and Hojman Adiabatic Invariants for Mechanical Systems with Unilateral Holonomic Constraints |
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| ZHANG Yi,FAN Cun-Xin,. Perturbation of Symmetries and Hojman Adiabatic Invariants for Mechanical Systems with Unilateral Holonomic Constraints[J]. Communications in Theoretical Physics, 2007, 47(4): 607-610 |
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| Authors: | ZHANG Yi FAN Cun-Xin |
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| Abstract: | The perturbation of symmetries and adiabatic invariants for mechanical systems with unilateral holonomic constraints are studied. The exact invariant in the form of Hojman led by special Lie symmetries for an undisturbed system with unilateral constraints is given. Based on the concept of high-order adiabatic invariant of mechanical systems, the perturbation of Lie symmetries for the system under the action of small disturbance is investigated, and a new adiabatic invariant for the system with unilateral holonomic constraints is obtained, which can be called Hojman adiabatic invariant. In the end of the paper, an example is given to illustrate the application of the results. |
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| Keywords: | unilateral constraint Lie symmetry perturbation exact invariant adiabatic invariant |
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