| 一类Lotka—Volterra型捕食与被捕食系统的Flip分岔 |
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| 引用本文： | 李波,廖云洞.一类Lotka—Volterra型捕食与被捕食系统的Flip分岔[J].数学理论与应用,2009(4):25-28. |
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| 作者姓名： | 李波 廖云洞 |
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| 作者单位： | 中南大学数学科学与计算技术学院,长沙410083 |
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| 摘 要： | 本文利用中心流形定理和映射的分岔理论，研究了一类离散的捕食与被捕食系统的Flip分岔的存在性与稳定性，并给出了数值模拟的结果。
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| 关 键 词： | 捕食与被捕食系统 离散动力系统 Flip分岔 中心流形定理 稳定性 |
Flip Bifurcation of the Discrete Predator- prey System of Lotka- Volterra Type |
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| Li Bo Liao Yundong.Flip Bifurcation of the Discrete Predator- prey System of Lotka- Volterra Type[J].Mathematical Theory and Applications,2009(4):25-28. |
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| Authors: | Li Bo Liao Yundong |
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| Institution: | Li Bo Liao Yundong, ( School of Mathematical Science and Computing Technology, CSU, Changsha, 410083) ) |
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| Abstract: | In this paper, the flip bifurcation of a discrete predator- prey system of Lotka - Volterra type is considered by using center manifold theorem and bifurcation theory of map,the numerical simulatioins are also provided to illustrate to the analytical results founded. |
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| Keywords: | Predator- prey systan Discrete dynamical system Flip bifiarcation Center manifold theorem Stability |
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