Kolon Carl

On the stability of rotating states for second-order self-propelled swarms

In this paper, we study the dynamics of a system of $n$ coupled, self-propelled particles: $$ \ddot r_k = (\alpha-\beta |\dot r_k|^2)\dot r_k - \frac{\gamma}{n}\sum_{m=1}^n(r_k-r_m), $$ $r_k\in \mathbb R^2.$ Numerical experiments indicate that, for a large set of initial conditions, after an initial drift, the center o...