Continuous feedback control of KdV Burgers system

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2007 Chin. Phys. Soc. and IOP Publishing Ltd
, , Citation Zhang Li-Ping and Xue Ju-Kui 2007 Chinese Phys. 16 2264 DOI 10.1088/1009-1963/16/8/018

1009-1963/16/8/2264

Abstract

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 stationary 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 separately.

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10.1088/1009-1963/16/8/018