Kuramoto Model: Generalized Overview

This lecture covers the Kuramoto model, focusing on the generalized version. It starts with a summary of the model, discussing natural frequencies and all-to-all coupling. The lecture then delves into the bifurcation diagrams, explaining the symmetric and unimodal frequency distributions. The concept of Kuramoto-like models is introduced, along with the bi-Cauchy distribution. The discussion extends to positive feedback situations and the synchronization in the model. The lecture concludes with an exploration of diffusion systems, particularly in drosophila embryos, and the mechanisms of diffusion and Brownian motion.