Concurrent Emergence of Clustering, Flocking and Synchronization in Systems of Interacting Agents

TL;DR

This paper introduces new models that simultaneously produce clustering, flocking, and synchronization in systems of interacting agents, providing insights into how phase synchronization influences spatial patterns and collective movement.

Contribution

The paper develops two novel models, Swarmalator-Vicsek and Swarmalator-Cucker-Smale, demonstrating concurrent emergence of collective behaviors and analyzing their interactions.

Findings

Synchronization affects spatial pattern formation.

Models successfully produce flocking and clustering.

Numerical simulations reveal phase synchronization impacts collective dynamics.

Abstract

We present some recent development in modeling concurrent emergence of collective behaviors, namely, the emergence of clustering, flocking and synchronization at the same time. We derive two new models, namely Swarmalator-Vicsek and Swarmalator- Cucker-Smale, which can produce the synchronization and flocking with interesting spatial patterns. We present extensive numerical insights into how the synchronization of phases can affect both the spatial patterns and the flocking behavior.