Research proposes a novel 'higher-order' Kuramoto model that combines topology with dynamical systems and characterizes synchronization in higher-order networks for the first time. Like an orchestra ...

Digital topology and image processing are rapidly evolving interdisciplinary fields that merge discrete mathematical frameworks with advanced computational techniques to analyse and manipulate digital ...

Introduced by Johnson, Tran, Walsberg and Ye, the so-called étale-open topology effectively acts as a dictionary between the topological and the algebraic worlds; in particular, algebraic properties ...

We adapt the study of hyperspaces and function spaces from classical topology to digital topology. We define digital hyperspaces and digital function graphs, and study some of their relationships and ...

Higher-order topological insulators are unusual materials that can support topologically protected states. Recently discovered disclination states also belong to the class of higher-order topological ...

Functional materials are often used in a polycrystalline form, and their properties are deeply related to the structure and arrangement of crystalline defects. The purpose of the study is to reveal ...

The main objective of work package 3 is to improve the understanding of the transition between discrete and continuum nonlocal models, which are investigated as part of the first two main objectives ...

Scientists have developed a ground-breaking piezoelectric-based DC-DC converter that unifies all power switches onto a single chip to increase power density. This new power topology, which extends ...