This thesis examines the intersection of two popular fields of mathematics: dynamical systems and complex networks. We present two distinct cases of dynamical systems acting on complex networks, using the language of nonlinear science to highlight similarities between two problems usually studied separately within the disciplines of physics and computer science. Firstly, phase synchronisation, and in particular cluster synchronisation, is considered in the context of the Kuramoto model on a new model of complex networks. In the second section, we study consistency in echo state networks as a means of understanding the reservoir computing mechanism.
|Award date||29 Jan 2019|
|Publication status||Unpublished - 2019|