From the 1 of 3 linked papers with an AI index.
3 papers
Graph-Induced Rotational Twisted States in Systems of Identical Oscillators
Nastassia Pouradier Duteil, David Poyato, David N. Reynolds
The paper investigates a new type of collective motion called rotational twisted states in identical Stuart‑Landau oscillators coupled on graphs, showing how graph asymmetry can in…
Structured Continuity Equations in Fibred Wasserstein Spaces
Benoît Bonnet-Weill, Nastassia Pouradier Duteil
In this article, we develop a comprehensive ODE-theory for structured continuity equations in fibred probability spaces, which represent a class of heterogeneous PDEs arising as th…
Mean-field limit of non-exchangeable multi-agent systems over hypergraphs with unbounded rank
Nathalie Ayi, Nastassia Pouradier Duteil, David Poyato
Interacting particle systems are known for their ability to generate large-scale self-organized structures from simple local interaction rules between each agent and its neighbors.…