| 一类具有星形结点的平面四次多项式系统的全局结构及其实例 |
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| 引用本文： | 脱秋菊,李学敏.一类具有星形结点的平面四次多项式系统的全局结构及其实例[J].纯粹数学与应用数学,2009,25(1):160-167. |
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| 作者姓名： | 脱秋菊 李学敏 |
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| 作者单位： | 1. 山东财政学院统计与数理学院,山东,济南,250014
2. 山东师范大学数学科学院,山东,济南,250014 |
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| 基金项目： | 山东财政学院校级立项课题 |
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| 摘 要： | 主要讨论一类具有星形结点的平面四次多项式微分系统的全局结构,用系统的积分直线把相平面分成四类扇形区域,根据系统的有限远奇点的情况,给出了相应的实例及其全局结构。
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| 关 键 词： | 星形结点 积分直线 全局结构 实例分析 |
Qualitative analysis and illustrations of a kind of plane polynomial differential system with the stellar node |
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| TUO Qiu-ju,LI Xue-min.Qualitative analysis and illustrations of a kind of plane polynomial differential system with the stellar node[J].Pure and Applied Mathematics,2009,25(1):160-167. |
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| Authors: | TUO Qiu-ju LI Xue-min |
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| Institution: | 1.School of Mathematics and Statistics;Shandong University of Finance;Jinan 250014;China;2.School of Mathematics Science;Shandong Normal University;China |
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| Abstract: | A certain plane system with the stellar node was manly discussed in this paper. Through the way of dividing the phase plane into four types of sector regions and the cases of the finite singular points,the system's global structure was obtained and corresponding examples were given respectively. |
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| Keywords: | stellar node integral line global structure analysis of illustration |
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