| As a branch of nonlinear discipline,chaotic system has the characteristics of nonlinear discipline,and the chaotic signal has its unique characteristic.Memristor,as a nonlinear resistor with memory property realized physically recently,has nonlinear characteristics which can make some memristive circuits produce chaotic behavior.Compared with traditional chaotic circuit,memristive chaotic circuits have more complex chaotic characteristics,chaotic signal generated by memristive chaotic system have stronger pseudo randomness,in addition to the sensitivity of circuit’s parameters,system behavior also relies on the initial value of memristor.The paper study the model,simulation and analysis of memristor deeply.A new Chua circuit is designed,and the corresponding dynamics analysis is carried out.The main contents of this paper are as follows:(1)The model of two new magnetic memristors is constructed,and its volt ampere characteristics are analyzed.The results show that the two memristors have the characteristic of hysteresis regression curve of "8" shape.At the same time,choosing different angular frequency w,the results show that the larger the angular frequency w,the more inclined the "8" shape contraction is.The above results show that the designed memristors meet its basic characteristics.(2)This paper designs a nonlinear circuits containing two heterogeneous magnetron memristors which based on three-order classic Chua circuit and its dimensionless fifth-order mathematical model.Due to the difference in the design of the characteristic equation of the two magnetron memristors,their position form a symmetrical structure with respect to the capacitor.The existence of chaotic properties is proved by analyzing the stability of the system equilibrium point and Lyapunov exponents.(3)Implementing the circuit model of five-order heterogeneous memristive Chua system and two heterogeneous magnetron memristors in the Multisim.Numerical calculation and experimental results show that heterogeneous magnetron memristive Chua circuit has a wealth of chaotic behavior and can outline the same chaotic attractors and hysteresis regression curves. |