Caption SI Mov. 1

Trajectory of the knotted chain forced with a period T=153 t_MD. Top panel: motion of the polymer projected on the XZ plane. The position of the knot is highlighted with a red circle. Bottom panel: Fraction of simulation time a bead spends included in the knot. The histogram is normalized so that the area under it reaches 1 at the end of the movie. Notice how the irregular appearance of different waves shapes the histogram updated on the fly during the simulation.



Caption SI Mov. 2

Trajectory of the knotted chain forced with a period T=156 t_MD.Top panel: motion of the polymer projected on the XZ plane. The position of the knot is highlighted with a red circle. Bottom panel: Fraction of simulation time a bead spends included in the knot. The histogram is normalized so that the area under it reaches 1 at the end of the movie. The regularity of the histogram reflects the standing wave motion of the chain and the localization of the knot between neighboring wave nodes.