Suppressing the spiking of a synchronized array of Izhikevich neurons

The aim of this research work is to investigate the synchronization and desynchronization of an array of non-identical Izhikevich neurons in a star-like configuration. Both regular spiking neurons and fast spiking neurons are considered in the analysis. The equilibrium points and their stability for a single neuron are determined, and an adaptive stable filter is applied to suppress the spiking of the neuron. A star coupling array configuration is applied to synchronize an array of isolated neurons. Next, the adaptive stable filter is employed to suppress the spiking of the synchronized array of coupled neurons. Appreciably, one filter is enough to suppress the entire star-like array. Numerical simulations demonstrate the success of the proposed technique. The parameters that govern the performance of the filter are specified, the limitations of the methodology are identified, and the required conditions for application are identified.