| 一类三次kolmogorov系统的极限环的存在唯一性 |
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| 引用本文： | 袁月定,傅湧. 一类三次kolmogorov系统的极限环的存在唯一性[J]. 邵阳学院学报(自然科学版), 2008, 5(4): 12-14 |
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| 作者姓名： | 袁月定 傅湧 |
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| 作者单位： | 宜春学院,数学与计算机科学学院,江西,宜春,336000 |
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| 摘 要： | 本文研究了一类三次kolmogorov系统dxdt=x(1+A1x-A3x2+A2y+xy),dydt=A0y(x2-1)得到了存在唯一极限环和不存在极限环的充要条件.
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| 关 键 词： | kolmogorov系统 极限环 存在性 唯一性 |
On the Unique Existence of a Cubic Kolmogrov Differential System |
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| YUAN Yue-ding,FU Yong. On the Unique Existence of a Cubic Kolmogrov Differential System[J]. Journal of Shaoyang University(Natural Science Edition), 2008, 5(4): 12-14 |
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| Authors: | YUAN Yue-ding FU Yong |
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| Affiliation: | Yong(Institute of Mathematics and Computer Science,Yichun University,Yichun 336000,Jiangxi) |
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| Abstract: | In this paper the cubic Kolmogrov differential system ddxt =x(1+A1x-A3x2+A2y+xy),ddyt =A0y(x2-1) are considered and obtains sufficient and necessary condition for the existence and uniqueness of limit cycle surrounding the positive e-quilibrium point and for no existence of the system. |
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| Keywords: | kolmogorov system limit cycle existence uniqueness |
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