What's the name of this wavy curve?

Question

What's the name of the curve you get from changing the x or y frequency on what was previously a path around an ellipse?

The equation would be:

f(t) = (Acos(ut), Bsin(vt))

And it looks like a wavy line instead of an ellipse.

Answer 1

Do you perhaps mean Lissajous curves?

Answer 2

Previously means when $ u = v$ ?

Lissajou figures. If $ u/v = 2 , 3 $ , ie multiple arguments, Lissajous close after $ u v $ LCM waves ..