Scale-free avalanches in arrays of FitzHugh–Nagumo oscillators

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dc.citation.issue9
dc.citation.rankM21a
dc.citation.spage093106
dc.citation.volume33
dc.contributor.authorContreras, Max
dc.contributor.authorMedeiros, Everton
dc.contributor.authorZakharova, Anna
dc.contributor.authorHövel, Philipp
dc.contributor.authorFranović, Igor
dc.date.accessioned2024-06-11T08:43:15Z
dc.date.available2024-06-11T08:43:15Z
dc.date.issued2023-09-06
dc.description.abstractThe activity in the brain cortex remarkably shows a simultaneous presence of robust collective oscillations and neuronal avalanches, where intermittent bursts of pseudo-synchronous spiking are interspersed with long periods of quiescence. The mechanisms allowing for such coexistence are still a matter of an intensive debate. Here, we demonstrate that avalanche activity patterns can emerge in a rather simple model of an array of diffusively coupled neural oscillators with multiple timescale local dynamics in the vicinity of a canard transition. The avalanches coexist with the fully synchronous state where the units perform relaxation oscillations. We show that the mechanism behind the avalanches is based on an inhibitory effect of interactions, which may quench the spiking of units due to an interplay with the maximal canard. The avalanche activity bears certain heralds of criticality, including scale-invariant distributions of event sizes. Furthermore, the system shows increased sensitivity to perturbations, manifested as critical slowing down and reduced resilience.
dc.identifier.doi10.1063/5.0165778
dc.identifier.issn1054-1500
dc.identifier.issn1089-7682
dc.identifier.scopus2-s2.0-85169762367
dc.identifier.urihttps://pub.ipb.ac.rs/handle/123456789/66
dc.identifier.wos001119834100002
dc.language.isoen
dc.publisherAmerican Institute of Physics Inc.
dc.relation.ispartofChaos: An Interdisciplinary Journal of Nonlinear Science
dc.relation.ispartofabbrChaos
dc.rightsrestrictedAccess
dc.titleScale-free avalanches in arrays of FitzHugh–Nagumo oscillators
dc.typeArticle
dc.type.versionpublishedVersion
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