| 一类对称五次系统的极限环分支 |
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| 引用本文： | 尚德生,张耀明. 一类对称五次系统的极限环分支[J]. 数学年刊A辑(中文版), 2017, 38(3): 339-364 |
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| 作者姓名： | 尚德生 张耀明 |
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| 作者单位： | 山东理工大学数学与统计学院, 山东 淄博 255049.,山东理工大学数学与统计学院, 山东 淄博 255049. |
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| 基金项目： | 本文受到山东省自然科学基金(No.Zr2010AZ003)的资助. |
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| 摘 要： | 对一类对称五次近Hamilton系统在五次对称摄动下产生的极限环数目进行了研究.通过多参数摄动理论和定性分析,得到这类对称摄动下的五次系统至少可以存在28个极限环.
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| 关 键 词： | Perturbation Singular point value Homoclinic loop Limit cycle |
| 收稿时间： | 2014-02-13 |
| 修稿时间： | 2017-01-14 |
Limit Cycle Bifurcations of a Symmetric Quintic System |
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| SHANG Desheng and ZHANG Yaoming. Limit Cycle Bifurcations of a Symmetric Quintic System[J]. Chinese Annals of Mathematics, 2017, 38(3): 339-364 |
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| Authors: | SHANG Desheng and ZHANG Yaoming |
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| Affiliation: | School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, Shandong, China. and School of Mathematics and Statistics, Shandong University of Technology, Zibo 255049, Shandong, China. |
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| Abstract: | The authors study the number of limit cycles for a class ofsymmetric quintic near-Hamiltonian system under symmetricperturbations to the origin. Using multi-parameter perturbationtheory and qualitative analysis, they find that the perturbed systemcan have at least 28 limit cycles. |
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| Keywords: | Perturbation Singular point value Homoclinic loop Limit cycle |
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