Let me try to make a very simple (read vitually useless) analogy.
A speaker has resonances. Let's say a speaker has only one resonant freq. And now lets imagine that speaker is a swing with a kid on it, and the natural resonance is the periodicity of the swing as it goes back and forth. The amp is the dad pushing the kid on the swing.
Now imagine you're pushing the kid. When the kid comes towards you and reaches to top of the arch, you start to push. You are actually pushing slightly ahead of the natural swinging motion. Your pushes are slightly ahead in phase relative to the phase of the natural swinging motion of the kid. In this case the amp is happy as a clam because it's staying ahead of the kid and has something nice and solid to push against.
Now imagine that you've pushed the kid very high and that (magically, because a swing won't do this) the frequency/periodicity of the swing increases, so the kid is swinging higher and faster. You, the dad, have the same strength and power as before, and the kid weight the same. But now, you have to push faster, and it's very hard to get a lot of energy into the kid because he's going by so fast. And, at some point, you won't be able to keep up and you'll push with all yur might, but the kid will be by you and you be pushing thin air .... and you'll fall flat on your face.
So, when an amp drives a speaker with a complex signal, there are sometimes moments when the amp is "pushing thin air", in other words, it looks, momentarily, to the amp like it's driving a dead short. Or worse, like less than a dead short.
Imagine our kid on a swing again, going like crazy. And that you're having to push this very fast moving swing, and your hands are tied to it. Try to push it when it's going fast and it will just suck you along. Well, an amp is soidly connected to the speaker, and when the speaker is getting ahead of the amp momentarily in phase angle, the amp is not only dumping current as hard as it can but current is getting sucked out of amp. Amp not likey.