非Chetaev型变质量非完整系统的Lie对称性与Noether对称性

吴润衡

系统科学与数学 ›› 2003, Vol. 23 ›› Issue (1) : 71-075.

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中国科学院数学与系统科学研究院期刊网
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系统科学与数学 ›› 2003, Vol. 23 ›› Issue (1) : 71-075. DOI: 10.12341/jssms09645
论文

非Chetaev型变质量非完整系统的Lie对称性与Noether对称性

    吴润衡
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ON LIE SYMMETRIES AND NOETHER SYMMETRIES OF THE NONHOLONOMIC VARIABLE-MASS SYSTEMS WITH NON-CHETAEV'S TYPE CONSTRAINTS

    Run Heng WU
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摘要

研究非Chetaev型变质量非完整系统的Lie对称性与Noether对称性以及其间的 关系,给出Lie对称性导致Noether对称性以及Noether对称性导致Lie对称性的条件.

Abstract

We consider Lie symmetries and Noether symmetries of the nonholonomic variable mass systems with non-Chetaev's type constraints, and give the criteria showing the relations between Lie symmetries and Noether symmetries of the systems.

关键词

分析力学 / 非完整系统 / Lie对称性 / Noether对

Key words

Analytical mechanics / nonholonomic system / Lie symmetry / Noether sym-metry

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吴润衡. 非Chetaev型变质量非完整系统的Lie对称性与Noether对称性. 系统科学与数学, 2003, 23(1): 71-075. https://doi.org/10.12341/jssms09645
Run Heng WU. ON LIE SYMMETRIES AND NOETHER SYMMETRIES OF THE NONHOLONOMIC VARIABLE-MASS SYSTEMS WITH NON-CHETAEV'S TYPE CONSTRAINTS. Journal of Systems Science and Mathematical Sciences, 2003, 23(1): 71-075 https://doi.org/10.12341/jssms09645
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