On the stability of Rotating States in Second-Order Self-Propelled Multi-Particle Systems

Carl Kolon, Constantine Medynets, Irina Popovici

In this paper, we study the dynamics of a system of $n$ coupled, self-propelled particles: ${\ddot{r}}_k=(\hat{I}\pm -{\hat{I}}^2|{\dot{r}}_k{|}^2){\dot{r}}_k-\frac{\hat{I}}{³}n{\sum }_{m=1}^n(r_k-r_m)$, $r_k\in \mat…