Synchronization of N-Coupled Hindmarsh-Rose Neuron Model with Time-Varying Delays

Abstract

This paper dwells upon the synchronization phenomena in Hindmarsh-Rose (HR) neuron model of $N$ number of neurons with time-varying communication delays between them. By considering a suitable Lyapunov-Krasovskii (L-K) functional, the synchronization criteria is obtained in terms of linear matrix inequality (LMI) for asymptotically stabilizing the error dynamics between the master-slave neuron configuration. The effectiveness of the proposed method is established through the numerical simulations of the neuron model.