LAUSR

Compared with integral calculus, the fractional differential operator can objectively reveal and describe the physical characteristics of the actual system. For fractional differential operator functions, sufficient conditions for stability of fractional nonlinear systems are given. By accurately adjusting the frequency of the analog input signal and observing and verifying the nonlinear dynamic characteristics of the new system, the simulation experiment of the fractional circuit with different fractional values is carried out, and the circuit simulation can visually observe the evolution of system variables. The research shows that the predictive correction method numerically simulates the fractional-order system, and the phase diagram of the chaotic attractor of the system is obtained. The simulation results show that the minimum order of chaos in the fractional hyperchaotic system is 2.8. The research shows that the simulation of the nonlinear system and its circuit implementation show the effectiveness of the circuit simulation method of the fractional-order chaotic system and the feasibility of circuit implementation.