Automatic control and tracking of periodic orbits in chaotic systems.
Automatic control and tracking of periodic orbits in chaotic systems.
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混沌系统中周期轨道的自动控制和跟踪。
DOI：
10.1103/physreve.75.066211
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发表时间：
2007
期刊：
影响因子：
--
通讯作者：
K. Aihara
中科院分区：
文献类型：
--
作者：
H. Ando;S. Boccaletti;K. Aihara
基于一个动力系统的附加参数的自动反馈调整，我们提出了一种策略，用于控制混沌动力学中所需周期的周期轨道，并跟踪它们向嵌入在原始混沌吸引子中的不稳定周期轨道集。该方法不需要关于待控制系统的信息，也不需要关于目标的任何参考状态的信息，并且它克服了由其他技术遇到的一些困难。该方法的有效性和鲁棒性的评估是通过该技术的应用，在离散和连续时间系统的不稳定周期轨道的稳定。
Based on an automatic feedback adjustment of an additional parameter of a dynamical system, we propose a strategy for controlling periodic orbits of desired periods in chaotic dynamics and tracking them toward the set of unstable periodic orbits embedded within the original chaotic attractor. The method does not require information on the system to be controlled, nor on any reference states for the targets, and it overcomes some of the difficulties encountered by other techniques. Assessments of the method's effectiveness and robustness are given by means of the application of the technique to the stabilization of unstable periodic orbits in both discrete- and continuous-time systems.