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Controlling chaos for the dynamical system of coupled dynamos |
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| Institution: | 1. Department of Electronics and Information Engineering, Kagawa University, 2217-20 Hayashi-cho, Takamatsu, Kagawa, 761-0396, Japan;2. Department of Electric and Electronic Engineering, Tokyo University of Technology, 1404-1 Katakuramachi, Hachioji City, Tokyo, 192–0982, Japan;3. Department of Electrical and Electronic Engineering, Chukyo University, 101-2 Yagoto Honmachi, Showa-ku, Nagoya-shi, 466–8666, Japan |
| Abstract: | This work is a tutorial on the different methods to control chaotic behaviour of the coupled dynamos system. Feedback and nonfeedback control techniques are proposed to suppress chaos to unstable equilibrium or unstable periodic solution. The stabilization of unstable fixed point of the chaotic behaviours is achieved also by bounded feedback method. Stability of the controlled systems are studied by Routh–Hurwitz criterion. Nonfeedback method and a derived method based on the delay feedback control are used to control chaos to periodic orbits. Numerical simulation results are included to show the control process of the different methods. |
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