6 citations · 6 across the 4 of their papers we have counts for
5 papers
Graph-Induced Rotational Twisted States in Systems of Identical Oscillators
Nastassia Pouradier Duteil, David Poyato, David N. Reynolds
In this article, we study a new class of collective motion for identical coupled Stuart-Landau oscillators on graphs. This model was previously known to converge to the synchronize…
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 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.…
Filippov flows and mean-field limits in the kinetic singular Kuramoto model
David Poyato
The agent-based singular Kuramoto model was proposed in [60] as a singular version of the Kuramoto model of coupled oscillators that is consistent with Hebb's rule of neuroscience.…