Nonlinear feedback control of a novel hyperchaotic system and its circuit implementation |
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Authors: | Wang Hao-Xiang Cai Guo-Liang MiaoSheng and 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 an
additional state variable into a three-dimensional chaotic dynamical
system. Some of its basic dynamical properties, such as the
hyperchaotic attractor, Lyapunov exponents, bifurcation diagram and
the hyperchaotic attractor evolving into periodic, quasi-periodic
dynamical behaviours by varying parameter k are studied. An effective
nonlinear feedback control method is used to suppress hyperchaos to
unstable equilibrium. Furthermore, a circuit is designed to realize
this new hyperchaotic system by electronic workbench (EWB).
Numerical simulations are presented to show these results. |
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Keywords: | hyperchaos nonlinear feedback control Lyapunov
exponents chaos circuit |
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