| 具有二次曲线解的Kolmogorov型三次系统的极限环 |
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| 引用本文： | 黄启宇.具有二次曲线解的Kolmogorov型三次系统的极限环[J].福建师范大学学报(自然科学版),1989,5(3):1-7. |
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| 作者姓名： | 黄启宇 |
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| 作者单位： | 福建师范大学数学系 |
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| 摘 要： | 本文研究具有抛物轨线的Kolmogorov三次系统_3极限环的存在性,证明它在全平面上不存在极限环。在文献9]—11]的基础上,我们得到:具有二次曲线解的三次Kolmogorov系统在全平面上不存在极限环。
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| 关 键 词： | 二次曲线 三次系统 极限环 |
Limit Cycle for Cubic System of Kolmogorov Type with A Conic Solution |
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| Huang Qiyu.Limit Cycle for Cubic System of Kolmogorov Type with A Conic Solution[J].Journal of Fujian Teachers University(Natural Science),1989,5(3):1-7. |
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| Authors: | Huang Qiyu |
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| Institution: | Department of Mathematics |
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| Abstract: | In this paper we study the existence of limit cycle for cubic system ()_3 of Kolmogorov type with a parabolic trajectory. We prove then there will not be any limit cycle on the full plane, and in Ref 9]-11] he proved the non-existence of limit cycle of ()_3 with the integral curve of arbitrary elliptic or hyperbola. On the whole, we conclude: The cubic system of Kolmogorov type with conic solution on the whole plane has no limit cycle. |
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| Keywords: | conic cubic system limit cycle |
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