Abstract
A control method for desynchronizing an array of mean-field coupled FitzHugh–Nagumo-type oscillators is described. The technique is based on applying an adjustable DC voltage source to the coupling node. Both, numerical solution of corresponding nonlinear differential equations and hardware experiments with a nonlinear electrical circuit have been performed.
Highlights
Synchronization is widely observed in natural and artificial coupled systems, ranging from pendulum clocks to electronic, laser systems and various biological populations [6]
We describe a simple feedback method for desynchronizing an array of the FHN oscillators not sensitive to the value of the parameter k
Performing the same stability analysis as for the single oscillator, we find that all steady states (x0i, y0i) in the array are unstable if a > b
Summary
Synchronization is widely observed in natural and artificial coupled systems, ranging from pendulum clocks to electronic, laser systems and various biological populations [6]. Methods for controlling, for suppressing synchrony of coupled oscillators, with possible application to neuronal arrays, are required. A straightforward way to suppress the spikes is to fully stabilize the unstable steady states of the oscillators, for example, by the low-pass filter technique [1]. In this method, the control parameter k plays the role of both the coupling parameter and the feedback gain. We describe a simple feedback method for desynchronizing an array of the FHN oscillators not sensitive to the value of the parameter k
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