| 非完整系统的无限小对称变换的特征函数构造 |
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| 引用本文： | 张宏彬,陈立群.非完整系统的无限小对称变换的特征函数构造[J].上海大学学报(英文版),2005,9(2):134-138. |
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| 作者姓名： | 张宏彬 陈立群 |
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| 作者单位： | [1]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,P.R.China／／DepartmentofPhysics,ChaohuCollege,Chaohu238000,P.R.China [2]ShanghaiInstituteofAppliedMathematicsandMechanics,ShanghaiUniversity,Shanghai200072,P.R.China |
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| 摘 要： | It was proved that velocity-dependent infinitesimal symmetry transformations of nonholonomic systems have a characteristic functional structure, which could be formulated by means of an auxiliary symmetry transformation function and is manifestly dependent upon constants of motion of the system. An example was given to illustrate the applicability of the results.
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| 关 键 词： | 特征功能结构 不完整系统 分析方法 对称性 机械系统 |
| 收稿时间： | 5 December 2003 |
Characteristic functional structure of infinitesimal symmetry transformations for nonholonomic system |
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| Zhang?Hong-bin,Chen?Li-qun.Characteristic functional structure of infinitesimal symmetry transformations for nonholonomic system[J].Journal of Shanghai University(English Edition),2005,9(2):134-138. |
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| Authors: | Zhang Hong-bin Chen Li-qun |
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| Institution: | 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China;Department of Physics, Chaohu College, Chaohu 238000, P.R.China
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P.R.China |
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| Abstract: | It was proved that velocity-dependent infinitesima l symmetry transformations of nonholonomic systems have a characteristic functio nal structure, which could be formulated by means of an auxiliary symmetry tra nsformation function and is manifestly dependent upon constants of motion of th e system. An example was given to illustrate the applicability of the results. |
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| Keywords: | analytical mechanics nonholonomic system velocity-dependent infinitesimal symmetry transformation characteristic functional structure constant of motion |
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