82 citations · 148 across the 15 of their papers we have counts for
15 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.…
Uniform contractivity of the Fisher infinitesimal model with strongly convex selection
Vincent Calvez, David Poyato, Filippo Santambrogio
The Fisher infinitesimal model is a classical model of phenotypic trait inheritance in quantitative genetics. Here, we prove that it encompasses a remarkable convexity structure wh…
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…
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…
Ergodicity of the Fisher infinitesimal model with quadratic selection
Vincent Calvez, Thomas Lepoutre, David Poyato
We study the convergence towards a unique equilibrium distribution of the solutions to a time-discrete model with non-overlapping generations arising in quantitative genetics. The…
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…
Absence of a Ground State for Bosonic Coulomb Systems with Critical Charge
Yukimi Goto
We consider bosonic Coulomb systems with -particles and static nuclei. Let denote the ground state energy of a bosonic molecule of the total nuclear charge . We p…