The Chaos Control Of Multi-scroll Jerk Circuit

The chaos control becomes a key link in the application of chaos, and the multi-scroll chaotic system has more complex dynamic characteristics compared to a common chaotic system. So the study of the control of the multi-scroll chaotic system has a great practical significance.In this paper, the stability of equilibrium points and the basic dynamical behaviors in the system of multi-scroll Jerk circuit is analyzed and discussed by using the nonlinear system theory and the Routh-Hurwitz theorem. Making use of MATLAB language, solving the multi-scroll Jerk circuit system equation with the four-order Runge-Kutta method, We obtain the steady state of the system, various periodic motion and chaotic motion by changing the parameters, and draw the bifurcation diagram, timing diagram and phase map of the system in the specific value of parameters.Two kinds of methods for non-feedback control, parameters perturbation and periodic excitation, and two kinds of methods for feedback control, linear feedback and adaptive feedback method are used to control the chaotic state of the multi-scroll Jerk system. By changing the control parameters, we can make the system transferring chaotic motion to periodic motion. We obtain the results of the chaos control of the multi-scroll Jerk system by four methods and the controllable region of the multi-scroll Jerk circuit system. The control results of four methods are analyzed.