| 一类拟三次系统的中心条件与极限环分支 |
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| 引用本文： | 潘雪军,郭远丽.一类拟三次系统的中心条件与极限环分支[J].杭州师范大学学报(自然科学版),2011(2):119-123. |
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| 作者姓名： | 潘雪军 郭远丽 |
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| 作者单位： | 同济大学浙江学院;浙江海宁高级中学; |
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| 摘 要： | 研究了一类拟三次系统的奇点量、中心焦点判定与极限环分支问题,首先通过适当的变换将系统的原点(无穷远点)转化为原点,得到了系统原点的前21个奇点量,从而导出原点为中心和最高阶细焦点(细奇点)的条件,并分别给出了原点和无穷远点分支出4个极限环的实例.
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| 关 键 词： | 拟三次系统 奇点量 中心条件 极限环分支 |
Center Conditions and Bifurcation of Limit Cycles in A Class of Quasi-Cubic Systems |
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| Authors: | PAN Xue-jun GUO Yuan-li |
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| Institution: | PAN Xue-jun1,GUO Yuan-li2(1.Tongji University Zhejiang College,Jiaxing 314051,China,2.Haining Senior High School Zhejiang Province,Haining 314400,China) |
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| Abstract: | This paper investigated the singular quantity,center conditions and bifurcation of limit cycles in a class of quasi-cubic systems changed the origin of the system which is infinite point to be origin,obtained twenty-first singular points and deduced the conditions for origin to be a center and the fine focus of the highest order provided the examples of that four limit cycles branched from the origin and the infinite point respectively as well. |
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| Keywords: | quasi-cubic systems singular quantity center condition bifurcation of limit cycles |
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