Figure 3. Poincare return map.

(a) Velocity field on one vertical plane and lagrangian particle trajectory in swimmer frame. Poincare return map reveals movement of bead after one orbit around swimmer, mapping an initial position on horizontal plane (blue point) to the second intersection of its trajectory with the plane (red point). (b) Poincare return map of lagrangian particle trajectories for swimmer moving downwards. Initial positions (blue) are mapped to final positions (red). (c) Poincare return map when magnetic interactions are included. The shaded area is the area of attraction for particles in front of swimmer.