| 一类离散捕食-被捕食系统的动力学复杂性 |
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| 引用本文： | 张莉敏,李玲.一类离散捕食-被捕食系统的动力学复杂性[J].武汉科技学院学报,2010,23(3). |
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| 作者姓名： | 张莉敏 李玲 |
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| 作者单位： | 四川文理学院数学与财经系,四川达州,635000 |
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| 基金项目： | the National Natural Science Foundation of China，the Sichuan Provincial Education Department Scientific Research Project，the Sichuan Provincial Old Revolutionary Base Areas Foundation，the Sichuan University of Arts and Science Natural Scientific Research Project |
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| 摘 要： | 本文对文献2]提出的一类离散捕食系统的动方学行为进行进一步研究.首先利用分支理论,探讨了系统在一定条件下存在Hopf分支;随后证明了系统在一定条件下存在Harotto's混沌吸引子;最后利用数值模拟,不但验证了理论分析的正确性而且还揭示了系统其它动力学行为,例如:倍周期、到倍周期分岔,吸引子危机,拟周期,混沌带和周期窗口.
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| 关 键 词： | Hopf分支 Harotto's混沌 数值模拟 |
Dynamic Complexities in a Discrete Predator-prey System |
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| ZHANG Li-min,LI Ling.Dynamic Complexities in a Discrete Predator-prey System[J].Journal of Wuhan Institute of Science and Technology,2010,23(3). |
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| Authors: | ZHANG Li-min LI Ling |
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| Abstract: | In this paper,the dynamic behavior of a discrete predator-prey system proposed in2]is investigated for further study.Firstly,the conditions of existence for Hopf bifurcation are derived by using bifurcation theory.Secondly,the existence of chaotic behaviors in the sense of Marotto' s definition of chaos in certain conditions is proved.Finally,numerical simulations are conducted not only to verify the validity of the theoretical analysis but also reveal other complex dynamics behaviors such as period-doublings,period-halving bifurcations,attractor crises,quasi-periodicity,chaotic bands and periodic windows. |
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| Keywords: | Hopf bifurcation Marotto' s chaos numerical simulation |
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