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利用数字有限脉冲响应滤波器稳定微分动力系统和二维离散映象混沌吸引子中不稳定周期轨道的方法,实现了高周期轨道的稳定控制.分别研究了Lorenz系统和Henon映象,给出了初步的分析和数值模拟结果.这种方法的主要特点是不需要获取混沌系统中不稳定周期轨道的任何信息,控制参数的选择与被控混沌系统无关.
The digital finite impulse response (FIR) filter is used to stabilize the unstable periodic orbit of the differential dynamical system and the chaotic attractor of the two-dimensional discrete map, and the stable control of high periodic orbit is achieved. The Lorenz system and the Henon map are studied separately, and the preliminary analysis and numerical simulation results are given. The main feature of this method is that it does not need to obtain any information of unstable periodic orbits in chaotic systems. The choice of control parameters has nothing to do with the chaotic system being controlled.