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…
Stuart-Landau Oscillatory Graph Neural Network
Kaicheng Zhang, David N. Reynolds, Piero Deidda +1
Oscillatory Graph Neural Networks (OGNNs) are an emerging class of physics-inspired architectures designed to mitigate oversmoothing and vanishing gradient problems in deep GNNs. I…
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…