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In this paper the conservation theorems of the constrained Birkhoffian systems are
studied by using the method of integrating factors. The differential equations of
motion of the system are written. The definition of integrating factors is given
for the system. The necessary conditions for the existence of the conserved quantity
for the system are studied. The conservation theorem and its inverse for the system
are established. Finally, an example is given to illustrate the application of the
results. 相似文献
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Form invariance and conserved quantities of Nielsen equations of relativistic variable mass nonholonomic systems 总被引:1,自引:0,他引:1 下载免费PDF全文
In this paper, the definition and criterion of the form invariance of Nielsen equations for relativistic variable mass nonholonomic systems are given. The relation between the form invariance and the Noether symmetry is studied.Finally, we give an example to illustrate the application of the result. 相似文献
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变质量非线性非完整系统的Gibbs-Appell方程 总被引:1,自引:0,他引:1
本文首先将Gibbs-Appell方程推广到最一般的变质量非完整系统.得到变质量非线性非完整系统在广义坐标、准坐标下的Gibbs-Appell方程和积分变分原理,最后给出一个例子. 相似文献
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非线性完整转动相对论系统的新型Vacco动力学方程 总被引:1,自引:0,他引:1
建立了非线性非完整转动相对论系统的新型Vacco动力学方程。 相似文献
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Exact invariants and adiabatic invariants of Raitzin's canonical equations of motion for a nonlinear nonholonomic mechanical system 总被引:1,自引:0,他引:1 下载免费PDF全文
The exact invariants and the adiabatic invariants of Raitzin's canonical equations of motion for a nonlinear nonholonomic mechanical system are studied. The relations between the invariants and the symmetries of the system are established. Based on the concept of higher-order adiabatic invariant of a mechanical system under the action of a small perturbation, the forms of the exact invariants and adiabatic invariants and the conditions for their existence are proved. Finally, the inverse problem of the perturbation to symmetries of the system is studied and an example is also given to illustrate the application of the results. 相似文献
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