| 一类平面五次多项式系统的焦点量与极限环 |
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| 引用本文： | 李玉婷,吴承强.一类平面五次多项式系统的焦点量与极限环[J].青岛大学学报(自然科学版),2010,23(1):16-19. |
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| 作者姓名： | 李玉婷 吴承强 |
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| 作者单位： | 福州大学,数学与计算机科学学院,福建,福州,350002 |
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| 基金项目： | 福建省自然科学基金，福州大学科技发展基金 |
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| 摘 要： | 研究一类五次系统:dxdt=-y(ax2+bx+1)+Dx-lx3+mx5dydt=x(ax2+bx+1)我们计算了原点的焦点量,证明了原点至多为二阶细焦点,并且得到了原点是二阶细焦点时系统不存在极限环。
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| 关 键 词： | 五次系统 极限环 Lienard方程 |
Limit Cycles and Focal Values for a Class of Plane Fifth Polynomial System |
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| LI Yu-ting,WU Cheng-qiang.Limit Cycles and Focal Values for a Class of Plane Fifth Polynomial System[J].Journal of Qingdao University(Natural Science Edition),2010,23(1):16-19. |
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| Authors: | LI Yu-ting WU Cheng-qiang |
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| Institution: | (College of Mathematics and Computer Science, Fuzhou University, Fuzhou Fujian 350002) |
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| Abstract: | The limit cycle and focal value for a class for plane fifth polynomial system, which is {dx/dt=-y（ax2＋bx＋1）＋Dx-lx3＋mx5 dy/dt=x（ax2＋bx＋1）,are discussed. The focal value of 0（0,0） is obeained, and it isproved that the origin is a 2 order of fine focus at most. There are no any limit cycles when O（0,0） is a 2 order of fine focus. |
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| Keywords: | fifth system limit Cycle Lienard equation |
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