Preprints, Working Papers, ... Year : 2022

Network torus canards and their mean-field limits

Abstract

We show that during the transition from and to elliptic burstings both classical and mixed-type torus canards appear in a Wilson-Cowan type neuronal network model, as well as in its corresponding mean-field framework. We show numerically the overlap between the network and mean-field dynamics. We comment on that mixed-type torus canards result from the nonsymmetric fast subsystem. This nonsymmetricity provides the dynamics linked to an associated canonical form presented in [7], and it occurs mainly due to the three-timescale nature of the Wilson-Cowan type models.
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Dates and versions

hal-03588795 , version 1 (25-02-2022)

Identifiers

  • HAL Id : hal-03588795 , version 1

Cite

Emre Baspinar, Daniele Avitabile, Mathieu Desroches. Network torus canards and their mean-field limits. 2022. ⟨hal-03588795⟩
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