间歇线性反馈控制类Henon吸引子

An Intermittent Linear Feedback Method for Controlling Henon-like Attractor

提出了控制混沌的两种间歇线性反馈方法 ,该方法由自治相和控制相组成 ,选取合适的反馈系数和控制相时间 ,可以获得各种不同的稳定周期轨道 .以类 Henon吸引子为例 ,对非全同反馈系数进行数值模拟 ,结果表明该方法可以使既定的混沌系统按照给定的周期轨道演化 .

In this paper, a method based on intermittent linear feedback to control Henon-like attractor is proposed. The technique consists of autonomous and controlling phases. The different stable periodic orbits are obtained by adjusting the feedback coefficients and the time duration, which the control phase occupies. As an example, we get the expected conclusion by numerically simulating the Henon-like attractor with unidentical feedback coefficients. The results from the computer simulation show that the proposed scheme can switch effectively the system to the desired periodic orbits.