Take it or leave it...
You have your two big capacitors for power supply filtering and power resevoir. An amp with only those caps will happily loaf along playing nice music and behave in a way befitting a gentleman but,
when the music gets
[size=x-large]louder[/size],
and
faster
and the big caps are loading and unloading power as fast as they can till they can't give anymore... well, the amp just hits a wall.
Bypass caps, smaller value caps (usually film or ceramic), when placed right at the supply pins of a device, act like little batteries. They supply the opamps during that initial [size=small]burst[/size] of music.
That's the way I look at it anyway...
ok,
erix