| 非完整可控力学系统的非等时变分方程和积分不变量 |
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| 引用本文： | 张解放.非完整可控力学系统的非等时变分方程和积分不变量[J].佛山科学技术学院学报(自然科学版),1994(2). |
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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： | 给出了非完整可控力学系统的非等时变分方程,并研究了它们的解,证明了在一定条件下可利用第一积分得到非等时变分方程的特解,利用正则方程的变分方程证明了由第一积分可直接构造系统的积分不变量.
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| 关 键 词： | 非完整约束 可控系统 非等时变分 第一积分 积分不变量 |
Nonsimultaneous Variational Equations and Integral Invariant of Nonholonomic Controllable Dynamical System |
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| Zhang Jiefang.Nonsimultaneous Variational Equations and Integral Invariant of Nonholonomic Controllable Dynamical System[J].Journal of Foshan University(Natural Science Edition),1994(2). |
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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 proposed the nonsimultaneous variational equations of nonholo- nomic controllable dynamical systems,studied their solutions and proved that the special solu- tions of the nonsimuhaneous equations could be obtained by using a first integral.Finally,the paper pointed out that integral invariants could be directly structured from a first integral in virtue of the canonical equations and nonsimultaneous variational equations. |
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| Keywords: | nonholonomic controllable system nonsimultaneous variational equation first integral integral invariant |
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