ELFT HÍRADÓ

[Szeminárium koordinátor <szfi-seminar AT wigner.mta.hu>]

SZFI SzemináriumÓdor GézaMFA (vendéglátó: Juhász Róbert)Critical 
synchronization dynamics of the Kuramoto model on connectome and small-world 
graphs2019. október 29. kedd, 10.00, KFKI Telephely, I. épület 1. emeleti 
TanácsteremThe hypothesis that cortical dynamics operates near criticality 
suggests that it exhibits universal critical exponents, marking the Kuramoto 
equation, a fundamental model for synchronization, as a prime candidate for 
an underlying universal model. We determined the synchronization behavior of 
this model by solving it numerically on a large, weighted human connectome 
network, containing 836 733 nodes, in an assumed homeostatic state. Since 
this graph has a topological dimension d < 4, a real synchronization phase 
transition is not possible in the thermodynamic limit, still we could locate 
a transition between partially synchronized and desynchronized states. At 
this crossover point we observe power-law-tailed synchronization durations, 
with exponents away from experimental values for the brain. However, below 
the transition point we found control-parameter dependent exponents, 
overlapping with the range of human brain experiments. I shall also compare 
these results with those obtained for Erdős-Rényi random networks and 2D 
lattices with additional long-range links, making them small-world 
graphs.&nbsp;Minden érdeklődőt szívesen látunk! - Everyone is welcome to 
attend.Juhász Róbertszfi-seminar AT wigner.mta.hu