Hybrid-type synchronization transitions: where marginal coherence, scale-free avalanches, and bistability live together
Victor Buend\'ia, Pablo Villegas, Raffaella Burioni, Miguel A. Mu\~noz

TL;DR
This paper explores a simplified cortical model revealing that a hybrid synchronization transition, combining features of type-I and type-II excitability, explains key empirical phenomena like scale-free avalanches and bistability.
Contribution
It introduces a novel hybrid synchronization transition model that captures multiple cortical phenomena simultaneously, advancing understanding of brain criticality.
Findings
Hybrid transition exhibits mixed type-I and type-II features.
Reproduces scale-free avalanches and bistability.
Enables rich dynamical behavior in cortical models.
Abstract
The human cortex is never at rest but in a state of sparse and noisy neural activity that can be detected at broadly diverse resolution scales. It has been conjectured that such a state is best described as a critical dynamical process -- whose nature is still not fully understood -- where scale-free avalanches of activity emerge at the edge of a phase transition. In particular, some works suggest that this is most likely a synchronization transition, separating synchronous from asynchronous phases. Here, by investigating a simplified model of coupled excitable oscillators describing the cortex dynamics at a mesoscopic level, we investigate the possible nature of such a synchronization phase transition. Within our modeling approach, we conclude that -- in order to reproduce all key empirical observations, such as scale-free avalanches and bistability, on which fundamental functional…
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