忆阻器耦合简化Logistic映射的忆阻混沌系统OA

A discrete memristor is added to the simplified Logistic map to construct a memristor chaotic system,obtaining a more complex chaotic map.MATLAB is used for simulation,and the I/V characteristic curve of the memristor is analyzed.Meanwhile,the stability of the memristor chaotic system,Lyapunov exponents,bifurcation diagram of the Logistic map,coexistence of chaotic attractors,and phase diagram of chaotic attractors are simulated and analyzed.The simulation results show that when the Lyapunov exponent is positive,the system exhibits bifurcation behavior,and the bifurcation diagram undergoes two period-doubling bifurcations before entering chaos.After chaos,it enters a periodic state and then undergoes another period-doubling bifurcation to enter chaos again,showing more complex dynamic behaviors.Meanwhile,the chaotic attractor of the system has an indeterminate state between periodicity and chaos,proving the coexistence of attractors.Additionally,the bifurcation behaviors of the system under different independent variables are compared,and a three-dimensional simulation of the chaotic attractor phase diagram of the memristor chaotic system is conducted.The simulation results are basically consistent with the chaotic attractor phase diagram of the memristor chaotic system in terms of numerical values and shapes on the X-Y plane,verifying the correctness of the designed memristor chaotic system.The memristor chaotic system designed simplifies the overall model and is easy to implement,which is of great significance for the application of memristor chaotic systems.