https://doi.org/10.1140/epjs/s11734-025-01668-y
Regular Article
Spike activity and coherence resonance in networks of excitable FitzHugh–Nagumo neurons: effects of coupling, noise, and periodic signal
Institute of Physics, Saratov State University, 84 Astrakhanskaya st., 410012, Saratov, Saratov Region, Russia
Received:
5
March
2025
Accepted:
26
April
2025
Published online:
13
May
2025
The spiking activity induced by noise sources of different characteristics (white 
-stable noise, colored Gaussian noise) added to the equations for the fast or slow variables in an ensemble of excitable FitzHugh–Nagumo neurons is considered. The influence of the coupling strength on the average firing rate and the effect of coherence resonance are studied. It is shown that for all considered types of noise, certain common regularities can be observed: weak coupling increases the average spike frequency of neurons and enhances the effect of coherence resonance; strong coupling can reduce spiking activity or even completely extinguish it. At the same time, coupling does not affect the firing threshold of neurons under the influence of a regular signal applied simultaneously to all neurons of the ensemble.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
