Theoretical And Experimental Study On Two Second-order Delayed Chaos System And Controlling

The paper researches on two second-order delayed chaos system and controlling from theoretical and experimental.First, according to the characteristics of chaotic system, we put forward a second-order delayed chaos system containing square item, analysis the dynamic characteristics from the fixed point, Hopf bifurcation and the stability of the square item system and another second-order delayed chaos system containing cubic.Second, in the circuit experiment, due to the chaotic signal is difficult to be delay time, we use ordinary inductance and capacitance components formed delay module, and use inductance and capacitance filter circuits to realize the effective delay of chaotic signal. We design the two second-order delayed chaos circuit, combining the theory analysis and numerical calculation, and observed the route from double period bifurcation to chaos.Finally, the linear feedback control method and the phase space compression method are applied to two second-order delayed chaotic systems. In the method of linear feedback control method, we adopt analytical method, analyze the condition of Hopf bifurcation. In the application of phase space compression control method, according to the different voltage amplitude limited, circuit is controlled to different period state. Experimental and theoretical results indicate that if properly choose control parameters, we adopt the two control methods can be delayed chaotic systems to control the periodic orbits.Using electronic circuit experiment of second-order delayed chaotic circuit research will provide important experiment basis for real time delay of chaotic system.