OGY法によるカオス的挙動の制御について : 部分時系列に基づくアプローチ

概要

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This paper discusses the OGY method based on a chaotic time series that produces a return map of complicated structures. Previous studies on this subject dealt only with relatively simple return maps of structures, such as a one dimensional arc, because it is easy to calculate quantities required for the OGY method from the simple return map, but not from a complicated one. Since chaos arising in real systems may not produce simple return maps, a method that produces a simple return map suitable for the OGY method is needed. To solve this problem, we focus on a part of the time series of a chaotic behavior that produces a complicated return map. This process simplifies the complicated return map and makes it easy to calculate quantities for the OGY method. We take a numerical example of a chaotic behavior in the burst state. The results show that it is possible to construct a simplified return map from the complicated one by only using a part of the time series within selected time intervals and that the OGY method works well with the simplified return map even if the partial time series constructing the map has critical and unstable characteristics.
1997-12-25