| Hyperchaotic system is a differential equation system which has two or even moreLyapunov exponent(above zero).It’s usually greater than or equal to four-dimensional.It canbe used in many fields,such as nonlinear circuit,secret communication,laser and so on.AHyperchaos four-order Liu system,a five-order electrical system and a six-order Chua systemare chosen to study on hyperchaotic motion and chaos control in nonlinear dynamics.Firstly, some common methods of chaos control are discribed.Chaos control methodscan be classified into feedback and non-feedback control.Non-feedback control doesn’trequire to measure state variable. Its method of control is easy with unique advantage.Controlstrategies of studies on non-feedback control of chaos control in recent years are mostlyparameter perturbation and periodic excitation control.A slight control input is used to changethe state of system greatly in common,though the original character of the system is changedat the same time.Secondly, the dissipation and the stability of the fixed point of three systems areanalyzed.Matlab language is used,a four-order Runge-Kutta method is adopted to solve theequation of the hyperchaotic circuit equation of three systems, the chaos solution of system isgot by parameter adjustment and the bifurcation diagram,sequence diagram and phasediagram are drawn to analyze the dynamic behaviors of hyperchaotic system.Finally, two non-feedback control methods-parameter perturbation and periodicexcitation are adopted to control the hyperchaotic motion of system,the hyperchaotic state ofsystem periodic is kept by parameter adjustment. The corresponding relationship betweenperturbation control volume and chaos state is analyzed to get the controlled area ofcorresponding control parameter,and the feasibility of non-feedback control is proved inhyperchaotic system.This study can provide a feasible programfor other studies onhyperchaotic system,and lay the foundation of theoretical basis for subsequent practicalapplication. |
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