3 papers
math.AP2025
Swarming by curvature control in arbitrary dimension
Pierre Degond, Antoine Diez, Amic Frouvelle
We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their tr…
math-ph2022
Topological states and continuum model for swarmalators without force reciprocity
Pierre Degond, Antoine Diez, Adam Walczak
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 oth…
math.AP2019
Phase transitions and macroscopic limits in a BGK model of body-attitude coordination
Pierre Degond, Antoine Diez, Amic Frouvelle +1
In this article we investigate the phase transition phenomena that occur in a model of self-organisation through body-attitude coordination. Here, the body-attitude of an agent is…