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奇异变质量单面非完整系统Nielsen方程的Noether-Lie对称性与守恒量*
Noether-Lie symmetry and conserved quantities of Nielsen equations for a singular variable mass nonholonomic system with unilateral constraints
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摘要: 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。
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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
Abstract: Under the infinitesimal transformations of Lie group, Noether-Lie symmetry of Nielsen equations for a singular variable mass nonholonomic system with unilateral constraints is studied. Differential equations of motion for Nielsen equations of the system are established. The definition, criteria and propositions for Nielsen equations of the system are given. Noether conserved quantity as well as generalized Hojman quantity is obtained. An example is given to illustrate the application of the results. -
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