分数阶超混沌复Lü系统的动力学

Dynamical Analysis of Fractional-order Hyper-chaotic Complex Lü System

为了研究分数阶Lü系统的动力学行为,借助于分岔理论和数值仿真的方法,得到系统随阶数和系统参数的分岔图,发现分数阶系统的阶数和系统的参数使系统产生各种形式的分岔,而且通过观察分岔图得出,对于不同范围内的分岔参数,系统通向混沌的历程十分丰富,通过这些分岔图可以进一步研究分数阶Lü系统的复杂动力学行为.

In order to investigate the dynamical behavior of fractional-order hyper-chaotic Lii system, based on the bifurcation theorem and simulation method,we get the bifurcatiori figures of fractioanl order Lu system. The simulation results show that the variation of both the system parameters and the fraction order can induce bifurcations, and the parameters ranges of chaos are different. The complex behaviour of Lu system can be further studied via these figures.