| 完整力学系统的微分几何描述 |
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| 引用本文： | 卢新平.完整力学系统的微分几何描述[J].宁德师专学报(自然科学版),1999(1). |
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| 作者姓名： | 卢新平 |
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| 作者单位： | 福州师范高等专科学校物理系 |
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| 摘 要： | 把现代微分几何的基本概念与方法应用于经典力学，给出一种推导完整系统动力学方程的简捷方法，进而在相空间构造一个向量场，使其积分曲线为哈密顿方程的解，并导出相流的一些积分不变量
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| 关 键 词： | 流形，切空间，相空间，相流 |
A Differential Geometry Version of Holonomic Mechanical Systems |
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| Lu Xinping.A Differential Geometry Version of Holonomic Mechanical Systems[J].Journal of Ningde Teachers College(Natural Science),1999(1). |
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| Authors: | Lu Xinping |
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| Abstract: | The basic ideas and methods
of modern differential geometry are used in classical mechanics.A quick method is given for
writing equations of holonomic systems.On phase space, vector fields are constructed whose
integral curves satisfy Hamilton's equations and obtain some integral invariant of a Hamiltonian
phase flow. |
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| Keywords: | manifolds tangent spaces phase space phase flow |
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