| 李群方法在寻找一类二次Hamilton系统平衡点中的运用 |
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| 引用本文： | 吴奇,化存才. 李群方法在寻找一类二次Hamilton系统平衡点中的运用[J]. 云南师范大学学报(自然科学版), 2010, 0(3) |
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| 作者姓名： | 吴奇 化存才 |
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| 作者单位： | 云南师范大学数学学院;云南农业大学基础与信息工程学院; |
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| 基金项目： | 国家自然科学基金项目(10772158); 云南省自然科学基金项目(2005A0026M) |
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| 摘 要： | 对一类二次Hamilton系统,假设它有一个平衡点,运用李群方法,得到了一种线性不变群.在该群的作用下,由Hamilton系统的已知平衡点而得到的新点,仍为Hamilton系统的平衡点。
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| 关 键 词： | 二次Hamilton系统 李群 平衡点 |
An application of Li-group to a class of 2~(nd)-order Hamiltonian system:searching for equilibrium points |
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| WU Qi,,HUA Cun-cai. An application of Li-group to a class of 2~(nd)-order Hamiltonian system:searching for equilibrium points[J]. Journal of Yunnan Normal University (Natural Sciences Edition), 2010, 0(3) |
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| Authors: | WU Qi HUA Cun-cai |
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| Affiliation: | WU Qi1,2,HUA Cun-cai1(1.School of Mathematics,Yunnan Normal University,Kunming 650092,2.College of Basic Science and Information Engineering,Yunnan Agricultural University,Kunming 650201) |
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| Abstract: | For a class of 2nd-order Hamiltonian system which has an equilibrium point,a kind of linear invariant group is obtained with aid of method of Li-group.Under this linear invariant group,a new point is obtained from the known equilibrium point and is still also an equilibrium point of the Hamiltonian system. |
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| Keywords: | 2nd-order Hamilton system Li-group equilibrium point |
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