Critical Dynamics of Kuramoto Model on Erdös–Rényi Random Graphs

Synchronization of interacting elements is ubiquitous in nature and has been widely investigated in many physical and biological systems, such as flashing fireflies, neurons in the brain, electric power grids, and Josephson junction arrays [1, 2]. Kuramoto introduced an analytically solvable model of coupled oscillators and thus inspired extensive studies on phase synchronization research since the 1980s [3–5]. In spite of its mature age, the theory of synchronization is still full of surprises, applications, and new features [6–8].