The Circuit Realization Of The Magneto-elastic Chaos System And Chaotic Control

E.N.Lorenz firstly discovered chaotic attractor in numerical experiment in 1963. It has obtained widespread development in many fields. The research and control of the chaotic systems are always the hotspots and forefront projects in scientific research fields.In this paper, we systematically presented the development history of chaos theory, and the definition and characters of chaotic system, according to the actuality of domestic and foreign research and meaning of research. Many common approaches analytical method of the nonlinear dynamical related are introduced. Such as, maximal Lyapunov exponent, power spectrum, correlation dimensions and Poincare map. We also conducted a series of nonlinear dynamics analysis intercepting chaotic state of magneto-elastic Chaos system.This paper mainly researched basic dynamic characteristics of magneto-elastic system. We systematically studied the magneto-elastic system by means of circuit experiments, combining numerical calculation and Multisim circuit simulation, as well as theoretic analysis. The correspondence of experimental and numerical simulation results which proved the feasibility of this chaotic system was obtained by converting systemic equation to state equation, drawing up the schematic on the basis of state equation, selecting suitable circuit parameter, and then processing Multisim circuit simulation and electronic circuit experiment.After confirming the fundamental characteristics of this chaotic system, we discussed chaotic system, and introduced the prevailing method of control, like OGY control,linear control,nonlinear feedback control, self-synchronization control and so on. Concerning the control of system, chaotic circuit of this system was worked out by adopting feedback control and ky|y| control respectively, to carry out Multisim circuit simulation, thus we realized the effective control of magneto-elastic chaotic system. According to the experimental results, magneto-elastic system can be effectively controlled to periodic state by changing gain of feedback. Thus, we proved the effectiveness and practicality of choosing this two control methods in terms of electronic circuit experiment.