Using a single deactivated oscillator to stabilize the steady states in an array of coupled FitzHugh-Nagumo cells

A method for stabilizing the steady states of the globally coupled oscillators is described. The method is based on deactivating a single oscillator. The deactivation of an oscillator is achieved by strong slowering its dynamics. In electrical circuits, deactivating can by implemented by short-circuiting an oscillator with an external large capacitance. Analytical, numerical, and experimental investigations have been carried out using an array of the mean-field coupled FitzHugh-Nagumo type oscillators.

Automated summary

The method stabilizes the steady states of globally coupled oscillators by deactivating a single oscillator, achieved through slowing down its dynamics. In electrical circuits, deactivation can be implemented by short-circuiting the oscillator with a large external capacitance. Analytical, numerical, and experimental investigations were conducted using a mean-field coupled array of FitzHugh-Nagumo type oscillators.