| 一类线性系统在11次扰动下的极限环分支 |
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| 引用本文： | 李艳梅.一类线性系统在11次扰动下的极限环分支[J].楚雄师范学院学报,2008,23(9). |
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| 作者姓名： | 李艳梅 |
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| 作者单位： | 楚雄师范学院数学系,云南,楚雄,675000 |
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| 摘 要： | 利用判定函数法研究了一类线性系统在11次扰动下的极限环分支,证明了这类系统至多产生5个极限环,并给出了正好产生5个极限环的条件,最后给出了一个能产生五个极限环的具体例子。
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| 关 键 词： | 极限环分支 判定函数 11次扰动 |
The Bifurcation of Limit Cycles for a Linear System with 11- degree Perturbation |
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| LI Yan-mei.The Bifurcation of Limit Cycles for a Linear System with 11- degree Perturbation[J].journal of chuxiong normal university,2008,23(9). |
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| Authors: | LI Yan-mei |
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| Abstract: | The bifurcation of limit cycles for a linear system with 11-degree perturbations are investigated by using the detection function method.It is shown that there exist at most 5 limit cycles in this perturbed system.The conditions appearing just 5 limit cycles are given,and a concrete example is discussed. |
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| Keywords: | bifurcation of limit cycles detection function 11- degree perturbations |
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