| 一类离散捕食-食饵系统的动力学研究 |
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| 引用本文： | 肖桂宏,鲍磊.一类离散捕食-食饵系统的动力学研究[J].温州大学学报(自然科学版),2010,31(5). |
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| 作者姓名： | 肖桂宏 鲍磊 |
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| 作者单位： | 温州大学数学与信息科学学院,浙江,温州,325035 |
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| 摘 要： | 讨论了一类离散捕食-食饵系统的动力学行为.首先分析了系统不动点的稳定性,然后通过数值模拟阐释了该系统随参数变化而发生倍周期分支进入混沌和发生Neimark-Sacker分支的情形.表明该系统具有较复杂的动力学行为.
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| 关 键 词： | 离散捕食-食饵系统 李雅普诺夫指数 混沌 分形维数 |
Study on Dynamics of One Discrete Predator-prey System |
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| XIAO Guihong,BAO Lei.Study on Dynamics of One Discrete Predator-prey System[J].Journal of Wenzhou University Natural Science,2010,31(5). |
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| Authors: | XIAO Guihong BAO Lei |
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| Institution: | XIAO Guihong,BAO Lei (School of Mathematics and Information Science,Wenzhou University,Wenzhou,China 325035) |
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| Abstract: | One discrete predator-prey system's dynamic behavior was discussed.Firstly,stability of the system's fixed points was analyzed.Then numerical simulation was presented to illustrate the system underwent period-doubling bifurcation to Chaos and Neimark-Sacker bifurcation when parameters changed. It is shown that complex dynamic behavior occurs in the system. |
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| Keywords: | Discrete Predator-prey System Lyapunov Exponent Chaos Fractal Dimension |
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