Chaos Analysis And Control Of Jerk System Based On Memristo

As a new type of nonlinear element,memristor,with its unique nonlinear characteristics,has become an important part of providing nonlinearity in the research of chaotic circuits.Compared with the traditional chaotic circuit,the chaotic circuit with memristor shows stronger sensitivity to the system parameters and the initial state of the system,and has more complex and diverse dynamic characteristics.In this paper,a double memristor complex high-order jerk chaotic system with hidden attractor is proposed,and its dynamic behavior is analyzed.The control ability of linear feedback control,periodic excitation control and parameter periodic disturbance control for highorder memristor chaotic system is studied.The specific research work and results are as follows:(1)The basic theory and analysis methods of chaotic system are studied,and the specific implementation methods of some analysis methods are simulated;Several typical chaotic systems are studied,and numerical simulation and simulation analysis are carried out respectively;The basic principle of chaos control is studied,and the advantages and disadvantages of several typical control methods are discussed.(2)A jerk system with hidden dynamics and two memristors is proposed.A new fifth order Jerk system is obtained by replacing the resistor and the diode in the Jerk system with two memristor diode bridges.The mathematical modeling and circuit modeling of the proposed system are carried out,and the balance point of the system is analyzed.There is only one stable equilibrium point in the system,which excites a strange hidden attractor.The common chaotic dynamic behavior analysis methods,such as bifurcation diagram,Lyapunov exponent,phase portrait and Poincare section,are used to analyze the dynamic characteristics of the system from different angles.MATLAB numerical simulation and Multisim circuit simulation are performed on the system,and the results show good consistency.(3)For the proposed dual memristor jerk chaotic system,combined with the nonlinear system theory,the linear feedback control method,periodic excitation control method and parameter periodic disturbance control method are selected to control the chaotic behavior of the dual memristor jerk system.The controllable area and controllable track of the system under different control methods are obtained by MATLAB numerical simulation.It is found that although the three control methods have different principles,they can effectively control the proposed system.On the premise of proper selection of controlled sub equations,linear feedback control method and periodic excitation control method can control the system to periodic orbit in a large range of parameters.The parameter periodic disturbance control method can also realize periodic control,but the controlled range is small and the controllable periodic orbit is less.This study can provide a feasible scheme for the control of other high-order memristor chaotic systems.