| 高维增广相空间中完整非保守力学系统积分不变量的构造 |
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| 引用本文： | 董文山.高维增广相空间中完整非保守力学系统积分不变量的构造[J].山东大学学报(理学版),2006,41(5):108-111. |
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| 作者姓名： | 董文山 |
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| 作者单位： | 山东潍坊学院,物理与电子科学系,山东,潍坊,261043 |
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| 摘 要： | 建立了高维增广相空间中完整非保守力学系统的变分方程,并利用系统的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,并举例说明结果的应用.
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| 关 键 词： | 增广相空间 变分方程 第一积分 积分不变量 |
| 文章编号： | 1671-9352（2006）05-0108-04 |
| 收稿时间： | 2006-01-05 |
| 修稿时间： | 2006年1月5日 |
The integral invariant construction of holonomic nonconservative dynamical systems in the high-dimensional extended phase space |
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| DONG Wen-shan.The integral invariant construction of holonomic nonconservative dynamical systems in the high-dimensional extended phase space[J].Journal of Shandong University,2006,41(5):108-111. |
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| Authors: | DONG Wen-shan |
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| Institution: | Department of Physics, University of Weifang, Weifang 261043, Shandong, China |
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| Abstract: | The variational equations are established for holonomic nonconservative dynamical systems in the high-dimensional extended phase space. The canonical equations of systems and their variational equations are used to prove that an integral invariant can be directly constructed by the first integral of the systems. Finally one example is given. |
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| Keywords: | extended phase space variational equations first integral integral invariant |
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