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1.
夏丽莉  山灵芳 《中国物理 B》2010,19(9):90302-090302
This paper discusses the weak Noether symmetry for a nonholonomic controllable mechanical system of Chetaev type, and presents expressions of three kinds of conserved quantities obtained by using weak Noether symmetry. Finally, the application of these new results is illustrated by an example.  相似文献   
2.
完整系统Appell方程的Lie-Mei对称性与守恒量   总被引:1,自引:0,他引:1       下载免费PDF全文
研究了完整系统Appell方程的Lie-Mei对称性与守恒量.在完整系统Appell方程的基础上,给出了Appell方程的Lie-Mei对称性的定义和判据,得到了Appell方程的Lie-Mei对称性导致的Hojman守恒量和Mei守恒量.举例说明结果的应用.  相似文献   
3.
Based on the total time derivative along the trajectory of the system the definition and the criterion for a unified symmetry of nonholonomic mechanical system with variable mass are presented in this paper. A new conserved quantity, as well as the Noether conserved quantity and the Hojman conserved quantity, deduced from the unified symmetry, are also obtained. An example is given to illustrate the application of the results.  相似文献   
4.
荆宏星  李元成  夏丽莉 《物理学报》2007,56(6):3043-3049
研究变质量单面完整约束系统Lie对称性的摄动与广义Hojman型绝热不变量.首先通过一般无限小变换下的Lie对称性得到广义Hojman型的守恒量;然后基于力学系统高阶绝热不变量的定义,研究小扰动作用下系统Lie对称性的摄动,得到系统广义Hojman型绝热不变量;最后举例说明结果的应用. 关键词: 变质量 单面完整约束 对称性 摄动 绝热不变量  相似文献   
5.
The unified symmetry of mechano-electrical systems with nonholonomic constraints are studied in this paper, the definition and the criterion of unified symmetry of mechano-electrical systems with nonholonomic constraints are derived from the Lagrange-Maxwell equations. The Noether conserved quantity, Hojman conserved quantity and Mei conserved quantity are then deduced from the unified symmetry. An example is given to illustrate the application of the results.  相似文献   
6.
以(线性和非线性)谐振子的求解过程为例,分析如何在大学物理的教学过程中引入Matlab计算工具.利用Matlab的符号计算和数值模拟两方面的强大功能,引导学生如何处理基本物理问题,体现了Matlab的可视化和简洁性对大学物理教学的辅助作用,激发学生学习的热情,提高大学物理教学的整体效率和质量.  相似文献   
7.
夏丽莉  陈立群 《中国物理 B》2012,21(7):70202-070202
The Noether conserved quantities and the Lie point symmetries for difference nonholonomic Hamiltonian systems in irregular lattices are studied. The generalized Hamiltonian equations of the systems are given on the basis of the transformation operators in the space of discrete Hamiltonians. The Lie transformations acting on the lattice, as well as the equations and the determining equations of the Lie symmetries are obtained for the nonholonomic Hamiltonian systems. The discrete analogue of the Noether conserved quantity is constructed by using the Lie point symmetries. An example is discussed to illustrate the results.  相似文献   
8.
完整系统Nielsen方程的统一对称性与守恒量   总被引:1,自引:0,他引:1       下载免费PDF全文
李元成  王小明  夏丽莉 《物理学报》2010,59(5):2935-2938
研究完整系统Nielsen方程的统一对称性与守恒量.在完整系统Nielsen方程的基础上,首先给出了Nielsen方程的Noether对称性、Lie对称性和Mei对称性与守恒量,其次给出了Nielsen方程的统一对称性的定义和判据,得到Nielsen方程的统一对称性导致的Noether守恒量、Hojman守恒量和Mei守恒量.举例说明结果的应用.  相似文献   
9.
非Chetaev型非完整可控力学系统的Noether-形式不变性   总被引:2,自引:0,他引:2       下载免费PDF全文
夏丽莉  李元成  王静  后其宝 《物理学报》2006,55(10):4995-4998
基于函数对时间的全导数采用沿系统的运动轨线方式, 研究非Chetaev型非完整可控力学系统的Noether-形式不变性. 给出非Chetaev型非完整可控力学系统的Noether-形式不变性的定义和判据. 由Noether-形式不变性同时得到了Noether守恒量和新型守恒量. 并举例说明结果的应用. 关键词: 非Chetaev型非完整系统 可控力学系统 Noether-形式不变性 守恒量  相似文献   
10.
夏丽莉  李元成 《中国物理》2007,16(6):1516-1520
This paper studies the perturbation to symmetries and adiabatic invariant for nonholonomic controllable mechanical systems with non-Chetaev type constraints. It gives the exact invariants introduced by the Lie symmetries of the nonholonomic controllable mechanical system with non-Chetaev type constraints without perturbation. Based on the definition of high-order adiabatic invarlants of mechanical system, the perturbation of Lie symmetries for nonholonomic controllable mechanical system with non-Chetaev type constraints with the action of small disturbances is investigated, and a new type of adiabatic invariant of system are obtained. In the end of this paper, an example is given to illustrate the application of the results.  相似文献   
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