A Locally Active Memristor Circuit and Its Application to a Coupled Hindmarsh-Rose Neuron Network

In this paper, a new locally active memristor is proposed. The characteristics and local activity of the memristor are analyzed by using standard nonlinear theory and the circuit theoretic technique direct current loci. Furthermore, the locally active memristor is used to simulate a biological synapse, then a locally active memristive synaptic coupled Hindmarsh-Rose (HR) neuron network is constructed. Theoretical analysis and numerical simulation show that the memristive neural network can generate multiple firing patterns and complex chaotic behaviors under the influence of locally active memristive synapses. Finally, the equivalent analog circuit of the memristive synaptic coupled neuron network is designed, and the correctness of numerical simulation is verified by Power SIMulation (PSIM) circuit simulations.