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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 3: Poster

SOE 3.8: Poster

Montag, 17. März 2025, 17:30–19:30, P4

Weakly coupled FitzHugh-Nagumo oscillators and the influence of noise — •Max Contreras1,2 and Philipp Hövel21Technische Universität Berlin, Germany — 2Saarland University, Saarbrücken, Germany

We investigate neural oscillators modeled by FitzHugh-Nagumo systems that are weakly and diffusively coupled on a one-dimensional ring with finite coupling range. Operated in the oscillatory regime, we observe a simultaneous presence of robust collective oscillations and neuronal avalanches. The mechanism behind these avalanches is based on an inhibitory effect of interactions, which may quench the otherwise spiking of units due to an interplay with the maximal canard. The result are subthreshold oscillations close to an unstable fixed point. Furthermore, we explore the response of the networked system to noise, and find that for weak coupling, the network-mediated inhibition is weakened and that for intermediate coupling strength, noise can promote synchronized spiking.

Keywords: FitzHugh–Nagumo model; neuronal dynamics; avalanches; weak coupling; noise

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