Controlling synchrony in an array of the globally coupled FitzHugh–Nagumo type oscillators

Abstract

A feedback method of controlling synchrony in globally coupled oscillators is described. The technique is based on injecting a negative replica of the mean field into the array. The feedback force either desynchronizes the oscillators via compensation of the attractive coupling or causes the repulsive coupling of the oscillators. Both mechanisms result in low level of the mean field. Clustering of the oscillators is observed in the region of repulsive coupling. Numerical and analytical investigations have been carried with an array of the mean-field coupled FitzHugh–Nagumo type oscillators.