82 citations · 148 across the 15 of their papers we have counts for
8 papers · 1 filter
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.…
Measure solutions to a kinetic Cucker-Smale model with singular and matrix-valued communication
Jan Peszek, David Poyato
We introduce a multi-dimensional variant of the kinetic Cucker-Smale model with singular and matrix-valued communication weight, which reduces to the singular kinetic Cucker-Smale…
Heterogeneous gradient flows in the topology of fibered optimal transport
Jan Peszek, David Poyato
We introduce an optimal transport topology on the space of probability measures over a fiber bundle, which penalizes the transport cost from one fiber to another. For simplicity, w…
Hydrodynamic limit of a coupled Cucker-Smale system with strong and weak internal variable relaxation
Jeongho Kim, David Poyato, Juan Soler
In this paper, we present the hydrodynamic limit of a multiscale system describing the dynamics of two populations of agents with alignment interactions and the effect of an intern…
On the trend to global equilibrium for Kuramoto Oscillators
Javier Morales, David Poyato
In this paper, we study the convergence to the stable equilibrium for Kuramoto oscillators. Specifically, we derive estimates on the rate of convergence to the global equilibrium f…
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.…
Filippov trajectories and clustering in the Kuramoto model with singular couplings
Jinyeong Park, David Poyato, Juan Soler
We study the synchronization of a generalized Kuramoto system in which the coupling weights are determined by the phase differences between oscillators. We employ the fast-learning…
Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker-Smale models
David Poyato, Juan Soler
This paper deals with the derivation and analysis of a compressible Euler-type equation with singular commutator, which is derived from a hyperbolic limit of the kinetic descriptio…