Salut Francis,
My guess is the stabilizer does nothing to control vibration and shock but does add some counterweight. There are many that do both at many different price points. As already said the S-Coil is a good cheap place to start as it is quite effective at reducing vibration and shock. What is the bow that you are working with?
Also do you have any string leeches? If not, they do remove string vibration and noise for not much money.