Coexisting firing patterns and circuit design of locally active memristive autapse morris-lecar neuron

Abstract

Abstract A novel bistable locally active memristor is proposed in this paper. A locally active memristive autapse Morris-Lecar neuron model is constructed by using memristor to simulate the autapse of neuron. The equilibrium point and stability of the system are analyzed, and the firing mode and bifurcation characteristics of the neuronal system are revealed by using dynamic analysis methods such as slow-fast dynamics, interspike interval bifurcation diagrams, Lyapunov exponents, phase diagrams and time series diagram. By changing the memristive autapse gain and the initial state of the system, the existence of coexisting firing patterns in the constructed neuron model is confirmed. Finally, to further verify the effectiveness of the numerical simulation, the analog equivalent circuit of the locally active memristive neuron system is designed, which proves that the system is physically realizable.