Frontiers in Physics • Vol 11
Synchronization transitions on connectome graphs with external force
March 2023 • Géza Ódor, I. Papp, Shengfeng Deng, Jeffrey Kelling
We investigate the synchronization transition of the Shinomoto-Kuramoto model on networks of the fruit-fly and two large human connectomes. This model contains a force term, thus is capable of describing critical behavior in the presence of external excitation. By numerical solution we determine the crackling noise durations with and without thermal noise and show extended non-universal scaling tails characterized by the exponent 2 < τ t < 2.8, in contrast with the Hopf transition of the Kuramoto mod…