[Seminar] Szemináriumok - Seminars: Ódor Géza

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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. Minden érdeklődőt szívesen látunk! - Everyone is welcome to attend.Juhász Róbertszfi-seminar at wigner.mta.hu
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