| 时间尺度上相空间中二阶线性可控力学系统的Noether理论 |
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| 引用本文： | 季晓慧,朱建青.时间尺度上相空间中二阶线性可控力学系统的Noether理论[J].华中师范大学学报(自然科学版),2019,53(6):879-883. |
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| 作者姓名： | 季晓慧 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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| 基金项目： | 国家自然科学基金;研究生科研创新项目 |
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| 摘 要： | 研究时间尺度上相空间中二阶线性可控力学系统的Noether对称性与守恒量.建立了时间尺度上二阶线性可控力学系统的Hamiton方程，给出该系统的Noether广义准对称性的定义和判据，并得到广义准对称性相应的Noether守恒量，文末举例说明其结果的应用.
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| 关 键 词： | 时间尺度 相空间 二阶线性可控力学系统 对称性 守恒量 |
| 收稿时间： | 2019-12-17 |
Noether theorem of second-order linear nonholonomic controllable mechanical systems in phase space on time scales |
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| JI Xiaohui,ZHU Jianqing.Noether theorem of second-order linear nonholonomic controllable mechanical systems in phase space on time scales[J].Journal of Central China Normal University(Natural Sciences),2019,53(6):879-883. |
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| Authors: | JI Xiaohui ZHU Jianqing |
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| Institution: | College of Mathematics and Physics， Suzhou University of Science and Technology， Suzhou， Jiangsu 215009，China |
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| Abstract: | This paper mainly investigated Noether symmetry and conserved quantity of second-order linear nonholonomic controllable mechanical systems in phase space on time scales. The Hamilton equation forsecond-order linear nonholonomic controllable mechanical systems on the time scale is established. The definitions and criteria of the generalized Noether quasi-symmetry are offered， and conserved quantities deduced from the generalized Noether quasi-symmetry are obtained. In the end of the paper， an example is given to illustrate the application of the results. |
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| Keywords: | time scale phase space second-order linear nonholonomic controllable mechanical system symmetry conserved quantity |
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