Analysis and implementation of memristor chaotic system with extreme multistability
In recent years,chaotic systems with extreme multistability have attracted extensive attention from researchers. To explore it further,a new four-dimensional memristive chaotic system was proposed using memristors. The dynamic behavior of this system was analyzed by Poincare mapping,chaotic dynamics of time domain waveform diagram,Lyapunov exponent spectrum,and phase orbit diagram. The experimental results demonstrate that the system exhibits complex dynamical behaviors,including transient chaos and constant Lyapunov index. Additionally,it reveals a shift in the bifurcation graph and extreme multistability phenomena upon variations of initial conditions of the system. In particular,when the system parameters take different discrete values,the system can exhibit a"bubble"phenomenon varying with the initial conditions. Finally,the system was implemented by a FPGA hardware platform. The results are mostly consistent with the numerical simulation,which verifies the correctness and feasibility of the system. This validates both the accuracy and feasibility of the proposed system. Notably,the system demonstrates strong sensitivity to initial values,which can be effectively utilized for image encryption or secure communication.
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维普
