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Continuous feedback control of KdV Burgers system
Authors:Zhang Li-Ping and Xue Ju-Kui
Affiliation:School of Sciences, Lanzhou University of Technology, Lanzhou 730050, China; College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, China
Abstract:
The chaos in the KdV Burgers equation describing a ferroelectricsystem has been successfully controlled by using a continuousfeedback control. This system has two stationary points. In order toknow whether the chaos is controlled or not, the instability ofcontrol equation has been analysed numerically. The numericalanalysis shows that the chaos can be converted to one point by usingone control signal, however, it can converted to the other point byusing three control signals. The chaotic motion is converted to twodesired stationary points and periodic orbits in numerical experimentseparately.
Keywords:KdV Burgers equation   chaosattractor   stationary points   periodic orbit
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