Verena Köpp - Synchronization and upper semicontinuity of random attractors

January 24, 2022 at 12:15 p.m. on Zoom

Abstract

Synchronization of a coupled system means, roughly speaking, that all of its subsystems behave in the same way. With the help of the theory of random dynamical systems we show that a specific system of two coupled stochastic differential equations synchronizes when the intensity of the coupling gets large. To describe the synchronization in this scenario more precisely, we present a recent result about the upper semicontinuity of the corresponding family of random pullback attractors.