A continuously rotating central texture (center) is presented together with a patterned surround oscillating back and forth. Generally, rotation of the surround induces misperceptions of the center’s angular velocity, which are known as induced rotational motion: a physically rotating center is perceived as turning faster when counterrotating with its surround and turning slower when co-rotating. However, during co-rotation, additional velocity misperceptions are observed: (a) a percept of motionless center (freezing rotation illusion) arises when the average angular velocity of the surround is fixed to a much higher value than that of the center and the appropriate oscillation frequency is set, and (b) a percept of the center sticking to its surround (rotational motion capture) arises when the average angular velocity of the surround is lower than the center velocity but higher than a given fraction of it.