Not enough electricity = Amp Cut out at higher volumes... due to under voltage.
Eg... if the amp has under voltage protection, then if you put 10V on it, the protect will stay on, put 11-14 and its fine, put more and it will also go on for over voltage protect....
So, if you're vehicles Electrical system dont have the power to supply the amp at high volumes, it may very well trip the under voltage protection. Some amps come back on, some stay tripped until power off/on. Cheaper ones usually come back on, hehe. had a old kenwood do that. You could see the Led on the top of it going dim. So if the Amp Cuts out on bass hits, it might just be the undervoltage protect tripping cause you dont have the power to supply the amp when it hits a bass freq.
But if you've done the big 3, have no light dimming, and/or got a good alt, then its probably somthing AMP related or Wiring related.