MOhunter and Nimrod have both hit on part of what may be the problem, but part of bow's stability is not just these two things. One other is not just the length of the riser, but the geometry of the riser.

The more reflex a riser has the less stable it'll be also. Of course it also has to be said that the less reflex the slower the bow will be, too. It's not all that hard to figure out. Take a look at what target shooters always choose. You won't see many reflexed risers in the mix. In fact, most often the riser will be straight or deflexed.

Now you take an ultra-short bow (less than 36") with a short riser, highly reflexed for speed, and you compound several undesirable features into one package. It's not that they can't be shot accurately. It just makes the job harder with less consistency.

So, considering that you already have the bow I'd say adding a good stabilizer can help, but not one of those little shorties guys use for hunting. They don't do much of anything in the way of stabilizing. Something like a B-Stinger about 12" long with some weight to it might be your best bet. Maybe mount it on a 10 degree down knuckle to lower the center of gravity.

Then next time you buy a bow you can use all the stuff you learn and maybe consider that short and portable isn't always the best for your intended application. There are all kinds of trade-offs in this sport.

Thanks for the input everyone. I really appreciate it. Looks like I am gonna be shopping for a longer stab.