Adaptation to the edge of chaos in one-dimensional chaotic maps.
Adaptation to the edge of chaos in one-dimensional chaotic maps.
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适应一维混沌图中的混沌边缘。
DOI：
10.1103/physreve.74.066205
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发表时间：
2006
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;K. Aihara
提出了一种通过反馈调节使混沌系统的动力学转变为稳定的周期动力学的方法。该方法利用从系统变量时间序列的固定区间观测得到的最大值的反馈，因此不需要任何先验详细信息。我们将该方法应用于几个混沌系统，数值验证了混沌状态稳定到稳定的周期状态。由于系统中的稳定态是在规则态和混沌态之间的边界附近形成的，因此该方法提供了一种对混沌边缘的适应。
We present a method that enables chaotic systems to change its dynamics to stable periodic dynamics by a feedback adjustment. The proposed method uses feedback of a largest value obtained from observations of a fixed interval of time series of the system variable and therefore does not require any a priori detailed information. We apply this method to several chaotic systems and confirm numerically that chaotic states are stabilized to stable periodic ones. Since the stabilized states in the system are formed around a boundary between regular states and chaotic ones, the method provides a kind of adaptation to the edge of chaos.