2023/02/13 by Gerew, Trenton, Zhong, Ming
#Dynamical Systems (math.DS) #FOS: Mathematics
paper · doi:10.48550/arxiv.2302.06732
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.