| 一类余维2的高次退化平面多项式系统的极限环分布 |
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| 引用本文： | 李宗成.一类余维2的高次退化平面多项式系统的极限环分布[J].山东大学学报(理学版),2007,42(2):19-27. |
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| 作者姓名： | 李宗成 |
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| 作者单位： | 山东大学,数学与系统科学学院,山东,济南,250100;山东建筑大学,理学院,山东,济南,250014 |
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| 基金项目： | 国家自然科学基金;山东省优秀中青年科学家科研奖励基金 |
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| 摘 要： | 讨论了一类余维2的高次退化平面多项式系统的极限环分布,证明了此系统至多存在3个极限环.如果极限环存在,则它们有且只有7种不同的相对位置.
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| 关 键 词： | 极限环 高次退化多项式系统 余维2 |
| 文章编号： | 1671-9352（2007）02-0019-09 |
| 收稿时间： | 2006-06-19 |
| 修稿时间： | 2006-06-19 |
Distribution of limit cycles for a class of higher-degree degenerate planar polynomial systems of codimension two |
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| LI Zong-cheng.Distribution of limit cycles for a class of higher-degree degenerate planar polynomial systems of codimension two[J].Journal of Shandong University,2007,42(2):19-27. |
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| Authors: | LI Zong-cheng |
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| Institution: | 1, School of Math, and System Sci., Shandong Univ. , Jinan 250100, Shandong, China ; 2. School of Sci., Shandong Jianzhu Univ., Jinan 250014, Shandong, China |
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| Abstract: | Distribution of limit cycles for a class of higher-degree degenerate planar polynomial systems of codimension two is discussed.It is proved that the system has at most three limit cycles.If they exist,then there will be only seven distinct relative locations. |
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| Keywords: | limit cycle higher-degree degenerate polynomial system codimension two |
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