Add your wiggle
Create a new Null called "Control Layer"
To this add two Expression Control sliders, rename one "frequency" the other "amplitude"
Click on the padlock button in the effects Control panel to keep this visible for the next step
In the expression ass two new lines before wiggle and type;
f=
immediately drag the pickwhip from the expression to the "frequency" effect slider
add a semi colon after this
add a new line and type;
a=
immediately drag the pickwhip from the expression to the "amplitude" effect slider
add a semi colon after this
the next line should be your wiggle and it should read;
wiggle(f,a)
the entire expression should look something like this;
f=thisComp.layer("Controller").effect("frequency")("Slider");
a=thisComp.layer("Controller").effect("amplitude")("Slider");
w=wiggle(f,);
Now you have two sliders to control the frequency and amplitude of your expression
You can animate them to start and stop wherever you like
you can interpolate values or if you want values to suddenly change, Toggle Hold the keyframes
Here's a tutorial that will help you with this;
Setting variable wiggle values