| 多项式微分系统的周期解 |
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| 引用本文： | 章山林,周正新.多项式微分系统的周期解[J].数学的实践与认识,2009,39(17). |
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| 作者姓名： | 章山林 周正新 |
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| 作者单位： | 扬州大学,数学科学学院,江苏,225002 |
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| 基金项目： | 江苏省高校自然科学基金 |
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| 摘 要： | 给出了多项式微分系统的反射函数第一分量不依赖于第二变量的的充要条件,并应用所得结论研究了周期多项式系统周期解的几何性态.
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| 关 键 词： | 多项式系统 反射函数 周期解 |
The Periodic Solutions of Polynomial Diffrential Systems |
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| ZHANG Shan-lin,ZHOU Zheng-xin.The Periodic Solutions of Polynomial Diffrential Systems[J].Mathematics in Practice and Theory,2009,39(17). |
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| Authors: | ZHANG Shan-lin ZHOU Zheng-xin |
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| Abstract: | We established the necessary and sufficient conditions for that the first component of reflective function of the polynomial differential systems does not depend of the second variate. The results are applyied to discuss the geometric property of the periodic solutions of the polynomial differential systems. |
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| Keywords: | polynomial differential system reflective function periodic solution |
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