Mitigation of extreme events in an excitable system

Article Type

Research Article

Publication Title

European Physical Journal Plus

Abstract

Formulating mitigation strategies is one of the main aspect in the dynamical study of extreme events. Apart from the effective control, easy implementation of the devised tool should also be given importance. In this work, we analyze the mitigation of extreme events in a coupled FitzHugh–Nagumo (FHN) neuron model utilizing an easily implementable constant bias analogous to a constant DC stimulant. We report the route through which the extreme events gets mitigated in Two, Three and N-coupled FHN systems. In all the three cases, extreme events in the observable x¯ gets suppressed. We confirm our results with the probability distribution function of peaks, dmax plot and probability plots. Here dmax is a measure of number of standard deviations that crosses the average amplitude corresponding to x¯max. Interestingly, we found that constant bias suppresses the extreme events without changing the collective frequency of the system.

DOI

10.1140/epjp/s13360-024-04950-5

Publication Date

3-1-2024

Comments

Open Access; Green Open Access

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