摘要
本文对文献[2]提出的一类离散捕食系统的动力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Marotto’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.
In this paper,the dynamic behavior of a discrete predator-prey system proposed in [2] 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.
出处
《武汉科技学院学报》
2010年第3期36-40,共5页
Journal of Wuhan Institute of Science and Technology
基金
Supported by the National Natural Science Foundation of China(No.30970305)
the Sichuan Provincial Education Department Scientific Research Project(No.TER2009-14)
the Sichuan Provincial Old Revolutionary Base Areas Foundation(No.SLQ2010C-17)
the Sichuan University of Arts and Science Natural Scientific Research Project(No.2009B07Z)
