From the 1 of 5 linked papers with an AI index.
5 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…
Mean field limit of non-exchangeable interacting diffusions on co-evolutionary networks
Julián Cabrera-Nyst, David Poyato
Systems in which the network structure and particle states co-evolve in mutual influence are increasingly recognized as essential for modeling complex adaptive systems. However, tr…
Synchronization of coupled Stuart-Landau oscillators: How heterogeneity can facilitate synchronization
Ana P Millán, David Poyato, David N Reynolds +1
We study the collective dynamics of coupled Stuart--Landau oscillators, which model limit-cycle behavior near a Hopf bifurcation and serve as the amplitude-phase analogue of the Ku…
Mean-field limit of non-exchangeable systems
Pierre-Emmanuel Jabin, David Poyato, Juan Soler
This paper deals with the derivation of the mean-field limit for multi-agent systems on a large class of sparse graphs. More specifically, the case of non-exchangeable multi-agent…
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.…