25 citations · 31 across the 12 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…
Structured Continuity Equations in Fibred Wasserstein Spaces
Benoît Bonnet-Weill, Nastassia Pouradier Duteil
In this article, we develop a comprehensive ODE-theory for structured continuity equations in fibred probability spaces, which represent a class of heterogeneous PDEs arising as th…
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.…
Large-population limits of non-exchangeable particle systems
Nathalie Ayi, Nastassia Pouradier Duteil
A particle system is said to be non-exchangeable if two particles cannot be exchanged without modifying the overall dynamics. Because of this property, the classical mean-field app…
Graph Limit for Interacting Particle Systems on Weighted Random Graphs
Nathalie Ayi, Nastassia Pouradier Duteil
In this article, we study the large-population limit of interacting particle systems posed on weighted random graphs. In that aim, we introduce a general framework for the construc…
Long-time behaviour of an advection-selection equation
Jules Guilberteau, Camille Pouchol, Nastassia Pouradier Duteil
We study the long-time behaviour of the advection-selection equation $$\partial_tn(t,x)+\nabla \cdot \left(f(x)n(t,x)\right)=\left(r(x)-ρ(t)\right)n(t,x),\quad ρ(t)=\int_{\mathbb{R…
Consensus Formation in First-Order Graphon Models with Time-Varying Topologies
Benoît Bonnet, Nastassia Pouradier Duteil, Mario Sigalotti
In this article, we investigate the asymptotic formation of consensus for several classes of time-dependent cooperative graphon dynamics. After motivating the use of this type of m…
Mean-field limit of collective dynamics with time-varying weights
Nastassia Pouradier Duteil
In this paper, we derive the mean-field limit of a collective dynamics model with time-varying weights, for weight dynamics that preserve the total mass of the system as well as in…
Control of collective dynamics with time-varying weights
Nastassia Duteil, Benedetto Piccoli
This paper focuses on a model for opinion dynamics, where the influence weights of agents evolve in time. We formulate a control problem of consensus type, in which the objective i…
Kinetic approach to the collective dynamics of the rock-paper-scissors binary game
Nastassia Duteil, Francesco Salvarani
This article studies the kinetic dynamics of the rock-paper-scissors binary game. We first prove existence and uniqueness of the solution of the kinetic equation and subsequently w…
Sparse control of Hegselmann-Krause models: Black hole and declustering
Benedetto Piccoli, Nastassia Pouradier Duteil, Emmanuel Trélat
This paper elaborates control strategies to prevent clustering effects in opinion formation models. This is the exact opposite of numerous situations encountered in the literature…
Interaction Network, State Space and Control in Social Dynamics
Aylin Aydogdu, Marco Caponigro, Sean McQuade +4
In the present chapter we study the emergence of global patterns in large groups in first and second-order multi-agent systems, focusing on two ingredients that influence the dynam…
Control of reaction-diffusion equations on time-evolving manifolds
Francesco Rossi, Nastassia Pouradier Duteil, Nir Yakoby +1
Among the main actors of organism development there are morphogens, which are signaling molecules diffusing in the developing organism and acting on cells to produce local response…
Developmental Partial Differential Equations
Nastassia Pouradier Duteil, Francesco Rossi, Ugo Boscain +1
In this paper, we introduce the concept of Developmental Partial Differential Equation (DPDE), which consists of a Partial Differential Equation (PDE) on a time-varying manifold wi…
Optimal Control of a Collective Migration Model
Benedetto Piccoli, Nastassia Pouradier Duteil, Benjamin Scharf
Collective migration of animals in a cohesive group is rendered possible by a strategic distribution of tasks among members: some track the travel route, which is time and energy-c…