Criticality and Universality of the Generalized Kuramoto Model.
We explore synchronization transitions in a generalized Kuramoto model with n-dimensional vector oscillators on complete graphs (CG) and on d-dimensional lattices. On the CG, we analytically derive universal critical exponents (β,ν[over ¯])=(1/2,5/2) for all even n. Through the Botet-Jullien-Pfeuty relation, the CG exp...