| 一类3次多项式系统无穷远点的奇点量与中心条件 |
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| 引用本文： | 章丽娜,潘雪军. 一类3次多项式系统无穷远点的奇点量与中心条件[J]. 浙江师范大学学报(自然科学版), 2008, 31(4): 393-396 |
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| 作者姓名： | 章丽娜 潘雪军 |
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| 作者单位： | 浙江师范大学,数理与信息工程学院,浙江,金华,321004 |
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| 摘 要： | 研究了一类三次多项式系统无穷远点的奇点量与中心条件，用一同胚变换将无穷远点转变成原点（初等奇点），用计算机代数系统Mathematica计算了这个多项式系统无穷远点的前18个奇点量，并得到了无穷远点的中心条件和18阶细焦点的条件．
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| 关 键 词： | 三次多项式 无穷远点 中心条件 奇点量 同胚变换 |
Singular point quantities and center conditions at the infinity for a class of cubic polynomial system |
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| ZHANG Lina,PAN Xuejun. Singular point quantities and center conditions at the infinity for a class of cubic polynomial system[J]. Journal of Zhejiang Normal University Natural Sciences, 2008, 31(4): 393-396 |
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| Authors: | ZHANG Lina PAN Xuejun |
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| Affiliation: | ( College of Mathematics, Physics and Information Engineering, Zhejiang Normal University, Jinhua Zhejiang 321004, China ) |
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| Abstract: | It was studied the center conditions at the equator of a class of cubic polynomial system with no singular point at the infinity based on the method of a homeomophic transformation of the infinity into the origin(linear singular point).The first 18 singular point quantities were computed by Mathematica.At the same time,the conditions for the infinity to be a center were derived respectively. |
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| Keywords: | cubic polynomial system the infinity center condition singular point quantities homeomorphic transformatiion |
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