Young Researchers Workshop:
Kinetic and macroscopic models for complex systems

Stability analysis of rings for 2nd order models in swarming

Daniel Balagué

North Carolina State University


In this work we consider second order models in swarming in which individuals interact pairwise with a power-law repulsive-attractive potential. We study the stability for flock and mill ring solutions and we show how the stability of these solutions is related to the stability of a first order model. In unstable situations it is also possible to observe formation of clusters and fat rings.