Acta mathematica scientia,Series A ›› 2001, Vol. 21 ›› Issue (2): 185-190.
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LIANG Jing-Hui
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高校博士学科点专项基金资助课题
Abstract:
研究相空间中单面非Chetaev型非完整系统的Lie对称性与守恒量.首先根据微分方程在无限小变换下的不变性建立Lie对称性所满足的确定方程和限制方程,给出结构方程和守恒量;其次讨论系统的Lie对称性逆问题;最后举一实例说明结果的应用.
Key words: 分析力学, 相空间, 单面约束, 非完整系统, Lie对称性, 守恒量.
CLC Number:
LIANG Jing-Hui. Lie Symmetries and Conserved Quantities of Nonholonomic Systems of Non-Chetaev's Type with Unilateral Constraints in phase Space[J].Acta mathematica scientia,Series A, 2001, 21(2): 185-190.
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1 梅凤翔.李群和李代数对约束力学系统的某些应用.见:程昌钧主编.现代数学和力学(MMM-VⅡ).上海:上海大学 出版社,1997,32-40 2 张毅,梅凤翔.具有单面完整约束的动力学系统的Noether定理.苏州城建环保学院学报,1998,11(1):1-7 3 梅凤翔,吴润衡,张永发.非Chetaev型非完整系统的Lie对称性与守恒量.力学学报,1998,30(4):468-474 4 梅凤翔,赵跃宇.关于力学系统的对称性与不变量.力学进展,1993,23(3):360-372 5 李子平.约束系统的变换性质.物理学报,1981,30(12):1659-1671 6 张毅.单面约束力学系统的基本理论研究.北京理工大学博士学位论文,1998
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