Because bringing it to a halt would take precision work and even then it probably wouldn't be stable. Iterative systems oscillate. It's what they do.
Moreover, a lot of the suggestions about "how to solve it" are in fact what people are trying to do very hard, and are themselves part of the system. The obvious solutions are what are taking us in the current direction. The fact that they are obvious is why you can actually plot the cyclic progression of civilizations with some reliability. It's an interesting field of study.
(BTW, buckle up. We're almost certainly in for a period of substantial uncertainty based on those modes. But, also, you are not your government or social system. Whatever abuse those things may be in for doesn't mean that you won't come out of it. Also, while I'd say high technology shows little evidence of having eliminated the cycles up to this point, I do consider it a wild card personally. Doom is not guaranteed.)