Feedback controller for destroying synchrony in an array of the FitzHugh-Nagumo oscillators

Abstract

We describe an implementation of an electronic feedback controller, destroying synchrony and/or suppressing the mean field in arrays of globally coupled nonidentical oscillators. We demonstrate that the mean field, either artificially nullified or fed back into the array with a negative sign can break up the phase synchronization. The experiments have been carried out with an array of thirty electronic oscillators, imitating dynamical behavior of the spiking neurons. We have found that the negative mean-field technique, depending on the control parameter, can either desynchronize or synchronize the oscillators, whereas in the both cases, it ensures low mean-field voltage.