The Frenet equations are Q'=K Q, where K(t) is a given path in the space of skew symmetric 3x3 matrices given by bounded periodic or almost periodic functions κ(t) ≥ 0 and τ(t). Under which conditions do we have stability of the Frenet curve r(t) given by r'(t) as the integral of Q(s) r'(s) ds? If the orbit stays bounded, what is the limit set? Here are some experiments. See also the Youtube short about it. Click on one of the pictures to see it larger: