| 一类三维Lotka—Volterra系统的极限环分支 |
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| 引用本文： | 冯静静,王勤龙.一类三维Lotka—Volterra系统的极限环分支[J].广西梧州师范高等专科学校学报,2014(1):119-122. |
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| 作者姓名： | 冯静静 王勤龙 |
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| 作者单位： | [1]长江大学信息与数学学院,湖北荆州434023 [2]贺州学院理学院,广西贺州542899 |
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| 基金项目： | 广西可信软件重点实验室项目（PF13071X）、国家基金项目（11261013）. |
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| 摘 要： | 文章研究了一类三维Lotka-Volterra系统的Hopf分支问题。首先利用中心流形上奇点量的递推公式计算得出了正平衡点的前四个焦点量，然后证明了这类系统至少存在四个极限环的结论。
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| 关 键 词： | 三维Lotka-Volterra系统 Hopf分支 奇点量 中心流形 |
Bifurcation of Limit Cycles of a 3D Lotka-Volterra System |
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| FENG Jing-jing,WANG Qin-long.Bifurcation of Limit Cycles of a 3D Lotka-Volterra System[J].Journal of Wuzhou Teachers College of Guangxi,2014(1):119-122. |
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| Authors: | FENG Jing-jing WANG Qin-long |
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| Institution: | 1.School of Information and Mathematics, Yangtze University, Jingzhou Hubei 434023; 2.School of Science, Hezhou University, Hezhou Guangxi 542899) |
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| Abstract: | Hopf bifurcation is studied for a three dimensional Lotka-Volterra system. Firstly, a recursion formula for computation of the singular point quantities is given for the corresponding equation. Then four limit cycles are constructed, which gives an good example to the cyclicity of 3D Lotka-Volterra system. |
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| Keywords: | 3D Lotka-Volterra system Hopf bifurcation Singular point quantities Center manifold |
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