| 一类原点为幂零奇点的七次系统的焦点判定与极限环分支 |
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| 引用本文： | 赵倩倩,刘贵兰.一类原点为幂零奇点的七次系统的焦点判定与极限环分支[J].佳木斯教育学院学报,2012(3):144+156. |
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| 作者姓名： | 赵倩倩 刘贵兰 |
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| 作者单位： | 湖南科技学院数学与计算科学系 湖南永州425000 |
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| 摘 要： | 研究一类原点为幂零奇点的七次系统的焦点判定和极限环分支问题。利用已计算出的该系统原点的前9个拟Lyapunov常数,推导出原点成为最高细焦点的条件,并在此基础上得到了此系统的扰动系统在原点邻域内恰有9个包围原点的极限环的结论。
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| 关 键 词： | 七次系统 幂零奇点 拟Lyapunov常数 焦点 原点 扰动 极限环分支 |
The focus determination and bifurcation of limit cycles of the seven system of a kind of origin is nilpotent singular point |
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| Zhao Qian-qian
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Liu Gui-lan.The focus determination and bifurcation of limit cycles of the seven system of a kind of origin is nilpotent singular point[J].Journal of Jiamusi Education Institute,2012(3):144+156. |
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| Authors: | Zhao Qian-qian Liu Gui-lan |
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| Institution: | (Department of Mathematics and Computational Science,Hunan University of Science and Engineering,Yongzhou Hunan,425000,China) |
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| Abstract: | To study focus determination and bifurcation of limit cycles of the seven system of a kind of origin is nilpotent singular point.Using the calculated system origin 9Lyapunov constant,derived from the origin condition to become the highest fine focus,and based on the obtained the conclusion of this disturbance system with exactly 9 encircling of limit cycle at the origin in the neighborhood. |
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| Keywords: | seven system nilpotent singular points quasi Lyapunov constant focus origin perturbation bifurcation of limit cycles |
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