| 摘要: |
| 在这篇短文中，给出了对于任给的正整数n ≥2，在平面二次多项式系统中，n阶和2n阶代数曲线解的存在性. |
| 关键词: 二次系统 代数曲线解 周期解 可积系统 |
| DOI：10.3969/J.ISSN.100-5137.2017.03.013 |
| 分类号: |
| 基金项目:This research was partially supported by the National Natural Science Foundation of China (No. 1147 1289, 11571318) |
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| The existence of n-order algebraic curve solutions of planar quadratic polynomial systems |
|
Li Jibin1,2
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1.School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China;2.Department of Mathematics, Zhejiang Normal University, Jinhua 321004, China
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| Abstract: |
| In this short article, we show that for any given positive integer n ≥ 2, there is a planar quadratic differential system having n-degree and 2n-degree classical algebraic curve solutions. |
| Key words: quadratic differential system algebraic curve solution periodic solution integrable system |
