| 一个带有时滞竞争系统的Hopf分岔研究 |
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| 引用本文： | 张荣艳,孙贵玲.一个带有时滞竞争系统的Hopf分岔研究[J].新乡学院学报(自然科学版),2011(3):217-221. |
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| 作者姓名： | 张荣艳 孙贵玲 |
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| 作者单位： | 黄河科技学院信息工程学院电子系 |
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| 摘 要： | 研究了一个带有时滞的竞争系统时间延迟反馈控制问题,研究了竞争系统的Hopf分岔问题;利用规范理论和中心流定理,得到了确定分岔周期解的稳定性和分岔方向的表达式;最后给出了数值模拟结果。
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| 关 键 词： | 竞争系统 时间延迟反馈 Hopf分岔 |
The Research of Hopf Bifurcation of a Delayed Competition System |
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| Authors: | ZHANG Rong-yan SUN Gui-ling |
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| Institution: | (Department of Electronic Information Engineering,School of Information Engineering, Huanghe Science and Technology College,Zhengzhou 450063,China) |
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| Abstract: | In this paper,we study the time-delayed feedback control of a delayed competition system.Firstly,we study the Hopf bifurcation of the system;secondly,by using the normal form theory and center manifold argument,we derive the explicit formulas determining the stability,direction of bifurcating periodic solutions;finally,we give several numerical simulations. |
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| Keywords: | competition system time-delayed feedback Hopf bifurcation |
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