Time: July 25nd (Thursday) 10:30
Place: Natural Science Building #744
Speaker: Prof. Woojoo Shim (Kyungpook National University)

Title: Synchronization estimate of the discrete Kuramoto model with multiplicative random noise

Abstract:
In this talk, we study the emergence of synchronization of time-discretization of the Kuramoto model with multiplicative noise. First, we will briefly describe several methods for approximating the solution of stochastic differential equations, including the method we used in the paper. Then, we introduce the existing results of the continuous-time stochastic Kuramoto model and the discrete-time deterministic Kuramoto model. Finally, we will discuss a sufficient condition that guarantees the identical oscillators in the discrete-time Kuramoto model with multiplicative noise are asymptotically synchronized almost surely.