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 analyze the flocking behavior of a Cucker–Smale-type system with a delayed coupling,
where delays are information processing and reactions of individuals. By constructing a …

We extend the analysis developed in Pignotti and Reche Vallejo (J Math Anal Appl 464:
1313–1332, 2018)[34] in order to prove convergence to consensus results for a Cucker …

We consider the celebrated Cucker-Smale model in finite dimension, modelling interacting
collective dynamics and their possible evolution to consensus. The objective of this paper is …

We present a simple proof of asymptotic consensus in the discrete Hegselmann--Krause
model and flocking in the discrete Cucker--Smale model with normalization and variable …

We study the communication time-delay effect on the emergent dynamics of thermodynamic
Cucker–Smale (TCS) ensemble with temperature as an internal state. In the presence of …

Abstract We analyze the Cucker–Smale model under hierarchical leadership in presence of
a time delay. By using a Lyapunov functional approach and some induction arguments we …

We present a relativistic counterpart of the Cucker–Smale (CS) model on Riemannian
manifolds (manifold RCS model in short) and study its collective behavior. For Euclidean …

In this paper, we study Hegselmann–Krause models with a time‐variable time delay. Under
appropriate assumptions, we show the exponential asymptotic consensus when the time …

We study a variant of the Cucker-Smale system with reaction-type delay. Using novel
backward-forward and stability estimates on appropriate quantities we derive sufficient …