Figure 4

Snapshots of the optimization procedure at \(t=10, 25, 50, 75, 125, 250\) (top-left to bottom-right). We see that the five dogs are able to steer the centre of mass of the crowd to the destination and that the crowd stays together. The latter is a new information which is not accessible by investigating only the centre of mass. Moreover, we see a stabilization as the dogs begin to circle around the crowd (\(t=75, 125, 250\)) after the centre of mass reached the desired destination. The black circle is underlining the discussion of the stabilization of the crowd