Nonlinear feedback control of a novel hyperchaotic system and its circuit implementation |
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| Authors: | Wang Hao-Xiang Cai Guo-Liang MiaoSheng Tian Li-Xin |
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| Affiliation: | Nonlinear Scientific Research Center, Jiangsu University, Zhenjiang 212013, China |
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| Abstract: | This paper reports a new hyperchaotic system by adding anadditional state variable into a three-dimensional chaotic dynamicalsystem. Some of its basic dynamical properties, such as thehyperchaotic attractor, Lyapunov exponents, bifurcation diagram andthe hyperchaotic attractor evolving into periodic, quasi-periodicdynamical behaviours by varying parameter k are studied. An effectivenonlinear feedback control method is used to suppress hyperchaos tounstable equilibrium. Furthermore, a circuit is designed to realizethis new hyperchaotic system by electronic workbench (EWB).Numerical simulations are presented to show these results. |
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| Keywords: | hyperchaos nonlinear feedback control Lyapunovexponents chaos circuit |
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