A new asymptotic toolbox for nonlinear discrete systems and particle chains

这个项目的目的是开拓一个新的数学工具箱的渐近技术的离散系统驱动的消失的小影响。这些技术的目的是允许对离散问题进行渐近研究，在这些问题中，由于现有渐近方法无法看到的微妙原因而产生重大影响。离散系统在现代应用数学中扮演着重要的角色，设计数学工具来探索它们的行为是至关重要的。该项目的目的是为解决开放的科学问题开辟新的途径，提供诸如理解小型技术组件中包含的粒子链和颗粒晶格的能量耗散等好处。

This project aims to pioneer a mathematical toolbox of new asymptotic techniques for discrete systems driven by vanishingly small influences. The purpose of these techniques is to permit the asymptotic study of discrete problems in which significant effects originate due to subtle causes that are invisible to existing asymptotic methods. Discrete systems play a significant role in modern applied mathematics, and it is vital that mathematical tools be designed in order to explore their behaviour. The aim of this project is to open new pathways for resolving open scientific problems, providing benefits such as understanding the energy dissipation of particle chains and granular lattices contained in small-scale technological components.