| 一类四次系统极限环的个数与分布 |
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| 引用本文： | 韩茂安,范春燕. 一类四次系统极限环的个数与分布[J]. 数学年刊A辑(中文版), 2005, 0(6) |
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| 作者姓名： | 韩茂安 范春燕 |
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| 作者单位： | 上海师范大学数学系，上海交通大学数学系 上海 200234，上海 200240 |
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| 基金项目： | 上海市重点学科建设基金(No．T0401)资助的项目 |
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| 摘 要： | 本文研究一类四次系统的极限环,通过计算四次系统鞍点分界线之间的有向距离,计算一阶焦点量 及二阶焦点量,判别同宿轨内外的稳定性,利用分支理论与定性分析技巧发现这类系统有六个极限环, 并给出了它们的分布．
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| 关 键 词： | 同宿分支 极限环 鞍点量 焦点量 |
ON THE NUMBER AND DISTRIBUTIONS OF LIMIT CYCLES IN A QUARTIC SYSTEM |
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| HAN Maoan FAN Chunyan. ON THE NUMBER AND DISTRIBUTIONS OF LIMIT CYCLES IN A QUARTIC SYSTEM[J]. Chinese Annals of Mathematics, 2005, 0(6) |
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| Authors: | HAN Maoan FAN Chunyan |
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| Affiliation: | HAN Maoan FAN Chunyan Department of Mathematics,Shanghai Normal University,Shanghai 200234,China. Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China. |
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| Abstract: | This paper concerns with limit cycles in a quartic system. Six limit cycles ar found and their distributions are studied by calculation oriented distance between separatrices of saddle points and focus values of order 1 and 2, methods of bifurcation theory and qualitative analysis. |
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| Keywords: | Homoclinic bifuecation Limit cycle Saddle value Focus value |
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