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Based on the total time derivative along the trajectory of the
time, we study the unified symmetry of Vacco dynamical systems.
The definition and the criterion of the unified symmetry for the
system are given. Three kinds of conserved quantities, i.e. the
Noether conserved quantity, the generalized Hojman conserved
quantity and the Mei conserved quantity, are deduced from the
unified symmetry. An example is presented to illustrate the
results. 相似文献
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Perturbation to symmetries and Hojman adiabatic invariant for nonholonomic controllable mechanical systems with non-Chetaev type constraints 
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下载免费PDF全文 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
invariants 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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变质量系统相对论力学速度空间中的变分原理 总被引：4，自引：0，他引：4
本文给出变质量系统相对论力学速度空间中的变分原理，由此得到变质量系统相对论力学的Ｌａｇｒａｎｇｅ方程。 相似文献
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在屏蔽理论和多体微扰理论的基础上,文中提出了一种新的计算等电子序列离子基组态能量的方法,用该方法和作者设计的FORTRAN程序,计算了LiⅠ等电子序列离子 (3≤Z≤20)基组态能量,计算结果与已有实验结果十分接近,表明该方法对低Z原子体系基组态能量的计算是可行的. 相似文献
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在群的无限小变化下, 研究奇异变质量单面非完整系统Nielsen方程的Noether-Lie对称性. 建立系统运动微分方程的Nielsen形式, 给出系统Nielsen方程的Noether-Lie对称性的定义、判据和命题, 得到系统Nielsen 方程的Noether-Lie对称性所导致的Noether守恒量和广义Hojman守恒量. 最后给出说明性算例说明结果的应用.
关键词：
奇异变质量系统
单面非完整约束
Nielsen方程
Noether-Lie对称性 相似文献