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Continuous feedback control of KdV Burgers system

Continuous feedback control of KdV Burgers system
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摘要 The chaos in the KdV Burgers equation describing a ferroelectric system has been successfully controlled by using a continuous feedback control. This system has two stationaxy points. In order to know whether the chaos is controlled or not, the instability of control equation has been analysed numerically. The numerical analysis shows that the chaos can be converted to one point by using one control signal, however, it can converted to the other point by using three control signals. The chaotic motion is converted to two desired stationary points and periodic orbits in numerical experiment sepaxately. The chaos in the KdV Burgers equation describing a ferroelectric system has been successfully controlled by using a continuous feedback control. This system has two stationaxy points. In order to know whether the chaos is controlled or not, the instability of control equation has been analysed numerically. The numerical analysis shows that the chaos can be converted to one point by using one control signal, however, it can converted to the other point by using three control signals. The chaotic motion is converted to two desired stationary points and periodic orbits in numerical experiment sepaxately.
出处 《Chinese Physics B》 SCIE EI CAS CSCD 2007年第8期2264-2271,共8页 中国物理B(英文版)
基金 Project supported by the National Natural Science Foundation of China (Grant Nos 10475066 and 10347006).
关键词 KdV Burgers equation chaos attractor stationary points periodic orbit KdV Burgers equation, chaos attractor, stationary points, periodic orbit
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