Asymptotic flocking for the Cucker-Smale model with time variable time delays

TL;DR

This paper studies a Cucker-Smale flocking model with time-varying delays, proving exponential flocking behavior without restrictions on delay size or influence function monotonicity.

Contribution

It demonstrates exponential flocking in a delayed Cucker-Smale model without small delay or monotonicity assumptions, expanding understanding of flocking dynamics.

Findings

Exponential flocking achieved with variable delays.

No smallness condition on delay size needed.

Flocking proven without influence function monotonicity constraints.

Abstract

In this paper, we investigate a Cucker-Smale flocking model with varying time delay. We establish exponential asymptotic flocking without requiring smallness assumptions on the time delay size and the monotonicity of the influence function.