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arXiv · 2407.20055

Phase transformation and synchrony for a network of coupled Izhikevich neurons

Áine Byrne
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Abstract

A number of recent articles have employed the Lorentz ansatz to reduce a network of Izhikevich neurons to a tractable mean-field description. In this letter, we construct an equivalent phase model for the Izhikevich model and apply the Ott-Antonsen ansatz, to derive the mean field dynamics in terms of the Kuramoto order parameter. In addition, we show that by defining an appropriate order parameter in the voltage-firing rate framework, the conformal mapping of Montbri\'o et al., which relates the two mean-field descriptions, remains valid.

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Áine Byrne. 2024-07-29. Phase transformation and synchrony for a network of coupled Izhikevich neurons. https://doi.org/10.1103/2qrn-xvhg

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