Young Researchers Workshop:
Multiscale phenomena: modeling, analysis and computation

Practical synchronization of Kuramoto system with an intrinsic dynamics

Jinyeong Park

Seoul National University


We study the practical synchronization of the Kuramoto dynamics of processors distributed over networks. The processor dynamics on the nodes of the network are governed by the interplay between their own intrinsic dynamics and Kuramoto coupling dynamics. We present two suffcient conditions for practical synchronization under homogeneous and heterogeneous forcing. For practical synchronization estimates, we employ the configuration diameter as a Lyapunov functional, and derive a Gronwall-type differential inequality for this value.