| 一类三次系统的奇点量公式和可积性条件 |
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| 引用本文： | 刘一戎,芮嘉诰,杨清华. 一类三次系统的奇点量公式和可积性条件[J]. 中南大学学报(自然科学版), 1997, 0(6) |
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| 作者姓名： | 刘一戎 芮嘉诰 杨清华 |
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| 作者单位： | 中南工业大学应用数学与应用软件系 |
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| 摘 要： | 采用代数运算方法，研究了一类三次系统的中心－焦点判定问题，得到了直接用系统的系数表示的奇点量公式与可积性条件；同时给出了系统的６个基本Ｌｉｅ不变量及有关相应实三次系统的一个结果．
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| 关 键 词： | 奇点量；三次系统；可积性 |
THE SINGULAR POINT OF THE ORIGIN AND THE NECESSARY AND SUFFICIENT CONDITIONS THAT A REGULAR INTEGRAL EXISTS FOR A CLASS OF CUBIC SYSTEM |
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| Liu Yirong Rui Jiagao Yang Qinghua. THE SINGULAR POINT OF THE ORIGIN AND THE NECESSARY AND SUFFICIENT CONDITIONS THAT A REGULAR INTEGRAL EXISTS FOR A CLASS OF CUBIC SYSTEM[J]. Journal of Central South University:Science and Technology, 1997, 0(6) |
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| Authors: | Liu Yirong Rui Jiagao Yang Qinghua |
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| Abstract: | In this paper,for a class of cubic system the singular point of the origin and the necessary and sufficient conditions in which a regular integral exists in a neighborhood of the origin are obtained; a result about the corresponding real cubic system and six basic Lie invariables are also given. |
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| Keywords: | the singular point cubic system integrability |
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