一类余维2的高次退化平面多项式系统的极限环分布

一类余维2的高次退化平面多项式系统的极限环分布

李宗成¹^,²

1. 山东大学数学与系统科学学院, 山东济南250100; 2. 山东建筑大学理学院，山东济南250014

收稿日期:2006-06-19 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 李宗成¹^,²

Distribution of limit cycles for a class of higherdegree degenerate planar polynomial systems of codimension two

LI Zong-cheng¹^,²

1. School of Math. and System Sci., Shandong Univ., Jinan 250100, Shandong, China;2. School of Sci., Shandong Jianzhu Univ., Jinan 250014, Shandong, China

Received:2006-06-19 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: LI Zong-cheng¹^,²

摘要/Abstract

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.

关键词: 极限环, 高次退化多项式系统, 余维2

Abstract: Distribution of limit cycles for a class of higher-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.

Key words: codimension two , higherdegree degenerate polynomial system, limit cycle

中图分类号:

O175.12

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]. J4, 2007, 42(2): 19-27 .

LI Zong-cheng, . Distribution of limit cycles for a class of higherdegree degenerate planar polynomial systems of codimension two[J]. J4, 2007, 42(2): 19-27 .

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