Synchronization of Coupled Hindmarsh-Rose Neuronal Dynamics: Analysis and Experiments

In neuronal networks, synchronized bursts are of greater significance. These bursts get developed in recurrent networks, astrocytic recycling of neurotransmitters, positive feedback by synapses, and short-term synaptic plasticity. Being inspired by the significance of bursting phenomena in neuronal networks, the present work is focused on finding sufficiency conditions of synchronized bursts using coupled Hindmarsh-rose model. Non-smooth Lyapunov function-based stability analysis for synchronization of bursts in coupled neural oscillators has been proposed. The outcomes are verified through experimentations on equivalent electronic set-up and numerical simulations.