Topological states and continuum model for swarmalators without force reciprocity

P Degond, A Diez, A Walczak - Analysis and applications, 2022 - World Scientific
Swarmalators are systems of agents which are both self-propelled particles and oscillators.
Each particle is endowed with a phase which modulates its interaction force with the other …

Bulk topological states in a new collective dynamics model

P Degond, A Diez, M Na - SIAM Journal on Applied Dynamical Systems, 2022 - SIAM
In this paper, we demonstrate the existence of topological states in a new collective
dynamics model. This individual-based model (IBM) describes self-propelled rigid bodies …

Macroscopic limit of a Fokker-Planck model of swarming rigid bodies

P Degond, A Frouvelle - European Journal of Applied Mathematics, 2024 - cambridge.org
We consider self-propelled rigid bodies interacting through local body-attitude alignment
modelled by stochastic differential equations. We derive a hydrodynamic model of this …

Body-attitude coordination in arbitrary dimension

P Degond, A Diez, A Frouvelle - arXiv preprint arXiv:2111.05614, 2021 - arxiv.org
We consider a system of self-propelled agents interacting through body attitude coordination
in arbitrary dimension $ n\geq 3$. We derive the formal kinetic and hydrodynamic limits for …

Hyperbolicity and non-conservativity of a hydrodynamic model of swarming rigid bodies

P Degond, A Frouvelle, S Merino-Aceituno… - arXiv preprint arXiv …, 2022 - arxiv.org
In this paper, we study a nonlinear system of first order partial differential equations
describing the macroscopic behavior of an ensemble of interacting self-propelled rigid …

Alignement de particules auto-propulsées, transitions de phase et contraintes géométriques

A Frouvelle - 2023 - hal.science
Ce mémoire est une synthèse des travaux de recherche effectués depuis ma thèse. Les
contributions concernent des modèles cinétiques de comportements collectifs, obtenus …

[PDF][PDF] Propagation Phenomena in Population Dynamics

Q Griette - 2022 - hal.science
Epidemics of newly emerged pathogen can have catastrophic consequences. Among those
who have infected humans, we can name the black plague, the Spanish flu, or more recently …