| 一类离散的Holling-I型捕食与被捕食系统的Flip分岔 |
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| 引用本文： | 廖云洞,李波.一类离散的Holling-I型捕食与被捕食系统的Flip分岔[J].数学理论与应用,2009(3):62-65. |
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| 作者姓名： | 廖云洞 李波 |
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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倍周期分岔的存在性与稳定性。
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| 关 键 词： | 捕食与被捕食系统 倍周期分岔 中心流形定理 稳定性 最大李亚普诺夫指数 |
Flip Bifurcation of the Discrete Predator- prey System of Holling - I Type |
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| Liao Yundong,Li Bo.Flip Bifurcation of the Discrete Predator- prey System of Holling - I Type[J].Mathematical Theory and Applications,2009(3):62-65. |
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| Authors: | Liao Yundong Li Bo |
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| Institution: | ( School of Mathematical Science and Computing Technology, CSU, Changsha, 410083 ) |
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| Abstract: | In this paper, the flip bifurcation of a discrete predatorprey system of Holling- I type is investigated by using center manifold theorem and bifurcation theory of map. |
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| Keywords: | Predator- prey system Discrete dynamical system Flip bifurcallon Stability |
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