| 变质量非完整系统的等时变分方程和积分不变量 |
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| 引用本文： | 张解放.变质量非完整系统的等时变分方程和积分不变量[J].佛山科学技术学院学报(社会科学版),1993(6). |
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| 作者姓名： | 张解放 |
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| 作者单位： | 浙江师范大学物理系 金华 |
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| 摘 要： | 给出了变质量非完整系统的等时变分方程,研究了它们的解,并证明在一定条件下可利用第一积分来得到等时变分方程的特解;利用正则方程和变分方程,证明可由第一积分直接构造系统的积分不变量。
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| 关 键 词： | 变质量非完整系统 第一积分 等时变分方程 积分不变量 |
Nonsimultaneous Variational Equations and Integral Invariant of Nonholomic Controllable Dynamical Systems |
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| Zhang Jiefang.Nonsimultaneous Variational Equations and Integral Invariant of Nonholomic Controllable Dynamical Systems[J].Journal of Foshan University(Social Science),1993(6). |
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| Authors: | Zhang Jiefang |
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| Institution: | Zhang Jiefang Department of Physics,Zhejiang Normal University,Jinhua 321004 |
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| Abstract: | This paper first proposed the nonsimultaneous variational equations of nonholonomic controllable dynamical systems and then investigated their solutions and proved that the special solutions of the nonsimultaneous equtions could be obtained by using a first integral Finally, the paper pointed out that an integral invariant was directly structured from a first integral in virtue of the canonical equations and nonsimultaneous variational equations. |
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| Keywords: | nonholonomic controllable system first integral noqsimultaneous variational eqution integral invariant |
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