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The Lie symmetrical non-Noether conserved quantity of holonomic Hamiltonian system 总被引:1,自引:0,他引:1 下载免费PDF全文
In this paper, we study the Lie symmetrical non-Noether conserved quantity of a holonomic Hamiltonian system under the general infinitesimal transformations of groups. Firstly, we establish the determining equations of Lie symmetry of the system. Secondly, the Lie symmetrical non-Noether conserved quantity of the system is deduced. Finally, an example is given to illustrate the application of the result. 相似文献
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运用圆弧方程和圆图分析三相负载中点位移的特性定性讨论了中点位移的变化规律,这对加深理解中点位移和应用有参考意义。 相似文献
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In this paper, a new kind of symmetry and its conserved quantities of a mechanical
system in phase space are studied. The definition of this new symmetry, i.e. a
Noether--Lie symmetry, is presented, and the criterion of this symmetry is also
given. The Noether conserved quantity and the generalized Hojman conserved quantity
of the Noether--Lie symmetry of the system are obtained. The Noether--Lie symmetry
contains the Noether symmetry and the Lie symmetry, and has more generalized
significance. 相似文献
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