[Yoshiko Tanaka] “wiggling is like flashing element in which each object jumps from one point to the other instead of actually “moving””
That depends on the settings. Wiggling is quite smooth if the first attribute (wiggles per second) is low. Try wiggle(.5, 500) for instance. You can do what you describe by creating a slider control and connecting the second value to it and animating the slider.
If you add a slider control on a separate layer called “control”, the code would be:
wiggle (.5, thisComp.layer(“Control”).effect(“Slider Control”)(“Slider”))
And that single slider would control the amount by which all the layers with that expression wiggle from their original position. You can then animate the slider from your given amount to zero.