用数字有限脉冲响应滤波器控制混沌

USING FINITE IMPULSE RESPONSE DIGITAL FILTER TO CONTROL CHAOS

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．

Abstract Finite impulse response digital filter was used to stabilize the unstable periodic orbits (UPO) embedded in a chaotic attractor of differential dynamic system and two dimensional map; and thus high periodic orbits was controlled. As examples we studied the Lorenz system and Henon map. A preliminary analysis and results of numerical analogy are presented. The advantages of this method are that it does not need to know the linear properities and the periodicity about a UPO or that of the UPO extracted from the chaotic attractor. The choice of control parameter is independent of the controlled chaotic system.