| 平面有界三次系统有限奇点分布举例 |
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| 引用本文： | 张剑峰,谢向东. 平面有界三次系统有限奇点分布举例[J]. 宝鸡文理学院学报(自然科学版), 2001, 21(2): 92-95 |
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| 作者姓名： | 张剑峰 谢向东 |
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| 作者单位： | 1. 福州大学 数学系,
2. 宁德高等师范专科学校 数学系, |
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| 基金项目： | 国家自然科学基金;19671017; |
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| 摘 要： | 通过构造有界的平面三次系统，证实了（1）其有限奇点的5－4（5个奇点指标为＋1，另4个奇点指标为－1），3－2，2－1，＋1四种分布均可实现；（2）仅有一个指标为＋1的有限奇点的有界三次系统至少有11种类型；（3）赤道附近轨线拓扑结构相同的有界三次系统它们有限奇点的分布可以有不同类型。
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| 关 键 词： | 有界三次系统 奇点分布 拓扑结构 奇点指标 轨线 有限奇点 鞍点 |
| 文章编号： | 1007-1261(2001)02-0092-04 |
| 修稿时间： | 2001-02-26 |
On the distribution of finity critical points of bounded cubic systems in the plane |
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| ZHANG Jian-feng,Xie Xiang-dong. On the distribution of finity critical points of bounded cubic systems in the plane[J]. Journal of Baoji College of Arts and Science(Natural Science Edition), 2001, 21(2): 92-95 |
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| Authors: | ZHANG Jian-feng Xie Xiang-dong |
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| Affiliation: | ZHANG Jian feng 1,XIE Xiang dong 2 |
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| Abstract: | By structure the bounded cubic systems in the plane,we prove that:1) the system (1) have distribution of critical point with 5-4 (5 critical points with index +1 and 4 critical points with index -1),3-2,2-1,+1;2) the bounded cubic systems in the plane which has only one critical point with index +1 have at least 11 structures;3) the distribution of finity critical points of bounded cubic systems with same topological structure near the equator have different struction. |
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| Keywords: | bounded cubic systems distribution of critical point topological structure |
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