| 时间尺度上非完整系统相对于非惯性系的Lie对称性 |
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| 引用本文： | 彭姣,朱建青. 时间尺度上非完整系统相对于非惯性系的Lie对称性[J]. 华中师范大学学报(自然科学版), 2020, 54(3): 368-372. DOI: 10.19603/j.cnki.1000-1190.2020.03.007 |
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| 作者姓名： | 彭姣 朱建青 |
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| 作者单位： | 苏州科技大学数理学院， 江苏 苏州 215009 |
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| 摘 要： | 对时间尺度上非完整系统相对于非惯性系的Lie对称性及守恒量进行研究.基于Hamilton原理和Dubois-Reymond引理推导出该系统的运动微分方程；再根据无限小变换不变性得出时间尺度上相对于非惯性系的Lie对称性确定方程和限制方程，进一步引出结构方程以及相应守恒量；最后，通过算例对结果进行应用.
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| 关 键 词： | 时间尺度 非完整系统 非惯性系 Lie对称性 守恒量 |
| 收稿时间： | 2020-06-17 |
The Lie symmetry of relative to non-inertial systems for nonholonomic systems on time scales |
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| PENG Jiao,ZHU Jianqing. The Lie symmetry of relative to non-inertial systems for nonholonomic systems on time scales[J]. Journal of Central China Normal University(Natural Sciences), 2020, 54(3): 368-372. DOI: 10.19603/j.cnki.1000-1190.2020.03.007 |
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| Authors: | PENG Jiao ZHU Jianqing |
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| Affiliation: | College of Mathematics and Physics， Suzhou University of Science and Technology， Suzhou， Jiangsu 215009， China |
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| Abstract: | The Lie symmetries and conserved quantities of nonholonomic systems relative to non-inertial systems on time scale are studied. Based on Hamilton principle and Dubois reymond lemma， the differential equations of motion of the system are derived. Then， according to the invariance of infinitesimal transformation， the Lie symmetry determining equation and limiting equation of relative to non-inertial system on time scale are obtained， and the structural equation and the corresponding conserved quantity are further derived. Finally， the results are applied by examples. |
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| Keywords: | time scales nonholonomic systems non-inertial systems Lie symmetry conserved quantity |
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