Re: K4 GSXR 600 Cutting Out when Hot.
Yes that is what mine (is)was doing. It will ride perfect for upto an hour, then it will start cutting out. Once it cuts out, it just keeps doing it. The longer I let it rest, the longer I can ride before next cut out. That's why I think it's heat related. And, yes my bike corrects itself aswell, everytime, usually after about 30 seconds, sometimes sooner. That's why it's so hard to diagnose, because by the time I get off the bike, it has already reset.
You have to be careful, because sometimes I even thought that flicking a switch or the keys is what fixed it, but most likely the bike is already resetting itself at the same time as you are moving the switch. The best time to do the tests is on about the third stall when the bike usually stays offline longer.
Believe me, I know it's a pain. I went out for a ride on the weekend to try to get it to cut out on me as many times as possible. I rode for almost 3 hours before it would start cutting out. And even then it would most times reset before I could do some tests.