This paper presents a review and critical analysis on the modeling of the dynamics of
vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It …

We introduce a new stochastic differential model for global optimization of nonconvex
functions on compact hypersurfaces. The model is inspired by the stochastic Kuramoto …

We present a new model for multi-agent dynamics where each agent is described by its
position and body attitude: agents travel at a constant speed in a given direction and their …

The issue of the relaxation to equilibrium has been at the core of the kinetic theory of rarefied
gas dynamics. In the paper, we introduce the Deep Neural Network (DNN) approximated …

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 …

We present particle and kinetic models for the description of swarming particles on a sphere
in the presence of random noises, and study their stability properties. In the absence of …

In this paper we provide a local Cauchy theory both on the torus and in the whole space for
general Vicsek dynamics at the kinetic level. We consider rather general interaction kernels …

We consider the so-called spatially homogenous Kolmogorov–Vicsek model, a non-linear
Fokker–Planck equation of self-driven stochastic particles with orientation interaction under …

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 …

The goal of these lecture notes is to present in a unified way various models for the
dynamics of aligning self-propelled rigid bodies at different scales and the links between …