A Bifurcation in the Kuramoto Model on Networks

Explore a 30-minute conference talk by Hayato Chiba from PCS Institute for Basic Science on the bifurcation phenomenon in the Kuramoto model on networks. Delve into the mean-field limit of globally coupled phase oscillators defined on networks, examining the transition from an incoherent state to a partially locked state at critical coupling strength. Discover how the generalized spectral theory is applied to investigate this bifurcation, revealing the profound impact of network topology on system dynamics. Learn about the crucial role of the eigenvalue problem of a specific Fredholm integral operator in defining network structure and influencing the overall behavior of the system.