| 一类五次系统的赤道极限环问题 |
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| 引用本文： | 陈海波,刘一戎.一类五次系统的赤道极限环问题[J].数学年刊A辑(中文版),2003(2). |
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| 作者姓名： | 陈海波 刘一戎 |
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| 作者单位： | 中南大学(铁道校区)数学科学与计算技术学院 长沙410075
(陈海波)，中南大学数学科学与计算技术学院 长沙410083(刘一戎) |
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| 基金项目： | 国家自然科学基金(No.10071016)资助的项目. |
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| 摘 要： | 本文解决了一类五次系统赤道环的稳定性与极限环分枝问题,所得的结论与三次系统的若干结论形成有趣的对比.
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| 关 键 词： | 五次系统 赤道环 稳定性 分枝 |
LIMIT CYCLES OF THE EQUATOR IN A QUINTIC POLYNOMIAL SYSTEM |
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| CHEN Haibo LIU Yirong
School of Mathematics Science and Computing Technology,Central South
University,Changsha ,China. E-mail: hbchen@mail.csu.edu.cn School of Mathematics Science and Computing Technology,Central South University,Changsha ,China. E-mail: liuyirong@.com.LIMIT CYCLES OF THE EQUATOR IN A QUINTIC POLYNOMIAL SYSTEM[J].Chinese Annals of Mathematics,2003(2). |
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| Authors: | CHEN Haibo LIU Yirong
School of Mathematics Science and Computing Technology Central South
University Changsha China E-mail: hbchen@mailcsueducn School of Mathematics Science and Computing Technology Central South University Changsha China E-mail: liuyirong@com |
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| Institution: | CHEN Haibo LIU Yirong
School of Mathematics Science and Computing Technology,Central South
University,Changsha 410075,China. E-mail: hbchen@mail.csu.edu.cn School of Mathematics Science and Computing Technology,Central South University,Changsha 410083,China. E-mail: liuyirong@163.com |
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| Abstract: | In this paper, the stability and bifurcations of limit cycles of the equator in a quintic polynomial system are discussed. Some results obtained in this paper present an intersting contrast with the related results on cubic systems. |
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| Keywords: | Quintic system Equator Stability Bifurcation of limit cycles |
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