Mathematical model reduction for complex networks

该项目旨在开发新的数学方法来描述具有称为集体坐标的参数的大型振荡器网络的集体行为。这将允许有限大小的网络以及混沌动力学的定量描述，这两者都是目前的模型简化方法所无法达到的。该项目将采用方法来了解新兴的现代分散电网中故障和故障的原因和预防方法。这将开发一个框架来解决这个问题，专门处理迄今为止未知的有限规模网络的情况。

This project aims to develop new mathematical methodology to describe the collective behaviour of large networks of oscillators with parameters called collective coordinates. This will allow for the quantitative description of finite-size networks as well as chaotic dynamics, which are both out of reach for current model reduction methods. The project will apply methodology to understand the causes of, and ways to prevent, glitches and failure in the emerging modern decentralised power grids. This will develop a framework to address this question, tailored to deal with the hitherto uncharted case of finite-size networks.