It is a weird concept to get figured out...but like the poster above said, the body will try to protect itself from too much insulin by putting more "counter-regulatory" hormones into the body, release stored sugar, and bing-bang-boom, the numbers are super high.
Our first instinct is to throw more insulin into the mix, because that's what we're told works. And if it's not a chronic rebound situation, it does work. But if it is chronic rebound/Somogyi, it makes the cycle worse. And then we get all frustrated and mad. LOL.
When you reduce the insulin, if it's Somogyi, what you should see is a gradual reduction in numbers, over a few days, until the body stops the whole "PANIC!!!" stuff.
What's almost worse with Somogyi rebound is that you don't even need a hypo event to trigger it. Just a drop of numbers which the body says "that's a bit too fast...we're gonna stop the drop NOW". IOW, if the numbers start at, say, 400, and drop to 200 in whatever time the body deems 'fast', the counter-regulatory hormone release is done. And that drives up the sugars. So you can start at 400, drop to 200, and then get well over 400 at a test a few hours later.
And then we look at the numbers, and say...wow, it's high. The insulin is not working, I should use more. And we do use more. And then, the cycle starts over, but perhaps a tad faster, and spikes higher, and we just run in circles.
The remedy?
Lower the dose, test more frequently, and watch what happens over a three-five day span, and go from there. If it's Somogyi, you should get a flatter cycle after a few days. Not right away, because the body is still expecting to panic, and may slam the counter-regulatory hormones into the system. But over a few days, it should be a fairly different pattern you'll see.
Test a lot, and be sure to log the numbers, and have someone experienced with Somogyi look at your SS with you for a few days, and take it from there.
The sugar dance is hard indeed, and it is made harder because each cat really is different, and so are the beans. And then when something like this happens, it's not only EC(B)ID, but lots of other factors play into it - food, meal timing, type of insulin, and so on.
Hang in there...and pm me if I can help at all.
Best-
Michele