Study On Five-dimensional Chaotic System Based On Flux-controlled Memristor

Chaotic systems are widely used in communication systems because of their high sensitivity to initial values and their inherent properties of being random-like and broad-spectrum. In this paper, based on the four-dimensional LCL chaotic system, a new five-dimensional chaotic system is obtained by replacing the coupling parameters in the chaotic system using a controlled memristor and selecting suitable system parameters.The phase trajectory diagram, Lyapunov exponent diagram and bifurcation diagram of this system are plotted by MATLAB experimental simulations with one system parameter changed, and the basic dynamic characteristics, stability and chaotic properties of the system are analysed with the simulation results. The parameters in the memristor are used as control variables to analyse their effect on the offset increments, and the system is subjected to a NIST test to demonstrate the randomness of the sequence generated by the system. The circuit model is built using the basic module of simulink, and the simulated phase trajectory diagram and time domain diagram are compared with the images simulated by the MATLAB code to prove that the improved system is a hyper-chaotic system and that the system can be well applied to encryption in the field of communication.