Pinning control of an array of globally coupled FitzHugh–Nagumo oscillators by means of a four-terminal controller

A technique for stabilizing the steady states in an array of either the star coupled or the all-to-all coupled FitzHugh–Nagumo (FHN) oscillators is described. To control the whole array a single oscillator or a small fraction of the oscillators can be involved. The controller is a four-terminal device and includes an external active nonlinear oscillator implemented as a counterpart of an individual FHN oscillator and synchronized to the mean field of the array. Analytical, numerical, and experimental investigations have been performed. (paper)