New math model helps predict how large networked systems behave
Researchers have developed a mathematical framework to predict how large systems of interconnected particles behave when their connections change dynamically. The finding could help engineers design better models for everything from power grids to supply chains, where relationships between components shift constantly.
Originaltitel: Continuum limit for interacting systems on adaptive networks
<p>The article considers systems of interacting particles on networks with adaptively coupled dynamics. Such processes appear frequently in natural processes and applications. Relying on the notion of graph convergence, we prove that for large systems the dynamics can be approximated by the corresponding continuum limit. Well-posedness of the latter is also established.</p>