| 一类平面三次系统的分支问题 |
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| 引用本文： | 孙跃娟,穆扬眉. 一类平面三次系统的分支问题[J]. 阜阳师范学院学报(自然科学版), 2009, 26(3): 10-12 |
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| 作者姓名： | 孙跃娟 穆扬眉 |
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| 作者单位： | 商丘师范学院 效学系,河南商丘,476000 |
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| 基金项目： | 河南省教育厅自然科学研究计划项目 |
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| 摘 要： | 运用分支方法，通过分析未扰系统的同宿轨在破裂以后稳定流形和不稳定流形之间的相对距离，研究了一类三次微分系统的极限环的存在性问题，给出了至少产生一个极限环的条件．
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| 关 键 词： | 同宿轨 分支 极限环 |
The homoclinic bifurcations of a class of planar cubic systems |
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| SUN Yue-juan,MU Yang-mei. The homoclinic bifurcations of a class of planar cubic systems[J]. Journal of Fuyang Teachers College:Natural Science, 2009, 26(3): 10-12 |
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| Authors: | SUN Yue-juan MU Yang-mei |
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| Affiliation: | (Department of Mathematics, Shangqiu Teachers College, Shangqiu Henan 476000,China) |
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| Abstract: | In this paper,by using the bifurcation method to analyze the relative distance between the stable manifold and the unstable manifold after the homoclinic orbit of the unperturbed system is perturbed to break,the author studies the existing problem of limit cycles of a class of planar cubic systems,and gives the existence conditions of limit cycles. |
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| Keywords: | linic orbit bifurcation limit cycle. |
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