The effect of noise on the synchronization dynamics of the Kuramoto model on a large human connectome graph [article]

Géza Ódor, Jeffrey Kelling, Gustavo Deco
2020 arXiv   pre-print
We have extended the study of the Kuramoto model with additive Gaussian noise running on the KKI-18 large human connectome graph. We determined the dynamical behavior of this model by solving it numerically in an assumed homeostatic state, below the synchronization crossover point we determined previously. The de-synchronization duration distributions exhibit power-law tails, characterized by the exponent in the range 1.1 < τ_t < 2, overlapping the in vivo human brain activity experiments by
more » ... va et al. We show that these scaling results remain valid, by a transformation of the ultra-slow eigen-frequencies to Gaussian with unit variance. We also compare the connectome results with those, obtained on a regular cube with N=10^6 nodes, related to the embedding space, and show that the quenched internal frequencies themselves can cause frustrated synchronization scaling in an extended coupling space.
arXiv:1912.06018v3 fatcat:pncngryytzf6defa6xcrmzbsv4