Chaos control and chaos synchronization for multi-scroll chaotic attractors generated using hyperbolic functions |
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Authors: | F. Xu |
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Affiliation: | Department of Applied Mathematics, The University of Western Ontario, London, Ontario, N6A 5B7, Canada |
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Abstract: | In this paper, we design a series of chaotic systems that can generate one-directional, two-directional and three-directional multi-scroll chaotic attractors. Then, based upon the properties of these chaotic systems, we construct appropriate Lyapunov functions and design simple linear feedback controls to globally exponentially stabilize and synchronize these chaotic systems. Numerical simulation results are also presented to show the applicability of the proposed control laws. |
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Keywords: | Multi-scroll chaotic attractors Hyperbolic tangent function Feedback control Lyapunov function Global and exponential stabilization Global and exponential synchronization |
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