Control Anemone Curve

Dearest Members,

Is it possible to control the path of this swarming anemone curve to some extent?
For now, it is very random, and playing with the graph or the sliders do not help to lessen this randomness.
For instance, directing its movement into a certain direction, or
At least, to stop the movement at a desired point? before the finish of the loop?

Thank you sooo much in advance, (78.8 KB)