Kuramoto Model: Phase Synchronization and Critical Coupling

This lecture delves into the Kuramoto model, focusing on phase synchronization and the critical coupling phenomenon. The slides cover topics such as positive feedback in coupling, the system equations, population categorization based on frequency, and the calculation of critical coupling values. The instructor explains the concept of mean field and its impact on oscillator populations, as well as the stability analysis of synchronized and drifting populations. The lecture concludes with a discussion on bifurcation diagrams for different frequency distributions, emphasizing the stability of stationary solutions.