Synchronization of weakly coupled oscillators is ubiquitous in biological and chemical
complex systems. Recently, research on collective dynamics of many-body systems has …

We present and discuss various one-dimensional linear Fokker–Planck-type equations that
have been recently considered in connection with the study of interacting multi-agent …

Abstract We consider the Cucker–Smale flocking model with a singular communication
weight ψ (s)= s− α with α> 0. We provide a critical value of the exponent α in the …

We present a class of initial-configurations for the Cucker-Smale flocking type models
leading no finite-time collisions between particles. For this class of initial-configurations, the …

The Cucker--Smale flocking model is one of the many aggregation and flocking models
describing a collective, self-driven motion of self-propelled particles with some predefined …

Abstract The Cucker–Smale flocking model belongs to a wide class of kinetic models that
describe a collective motion of interacting particles that exhibit some specific tendency, eg to …

Existence of piecewise weak solutions of a discrete Cucker–Smale's flocking model with a
singular communication weight - ScienceDirect Skip to main contentSkip to article Elsevier logo …

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 …

We introduce a class of new one-dimensional linear Fokker–Planck-type equations
describing the dynamics of the distribution of wealth in a multi-agent society. The equations …

We present a new coupled kinetic-fluid model for the interactions between Cucker–Smale (C–
S) flocking particles and incompressible fluid on the periodic spatial domain. Our coupled …