An experimental study on stabilization of unstable periodic motion in magneto-elastic chaos

被引：114

作者：

Hikihara, T

Kawagoshi, T

机构：

[1] Department of Electrical Engineering, Kansai University, Suita, Osaka 564

来源：

PHYSICS LETTERS A | 1996年 / 211卷 / 01期

关键词：

magneto-elastic chaos; unstable periodic attractor; stabilization; delayed feedback control; controlling chaos;

D O I：

10.1016/0375-9601(95)00925-6

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Some experimental results of controlling chaos on a magneto-elastic beam system, which is described by the Duffing equation, are discussed. We adopt a delayed feedback control method proposed by Pyragas to stabilize an unstable periodic attractor embedded in a chaotic attractor. This is a negative feedback control using the gained error between the output of the chaotic system and the periodically delayed one. It is shown that unstable periodic motion in magneto-elastic chaos can be stabilized experimentally. The effectiveness of the control method is confirmed for two types of the Duffing system. Numerical considerations for the typical Duffing equation are also given.

引用

页码：29 / 36

页数：8

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