Just because a set of differential equations has -d^2/dt^2 somewhere in it doesn't mean that it will lead to an increasing amount of instabilities that will eventually lead to spontaneous -30% economic activity.
The economy of the USSR, in aggregate, literally only ever suffered two recessions - one in 1963 due to political instability (which was a very minor fall in GDP), and one at the beginning of WW2. The collapse of the USSR itself was a purely political issue - the USSR maintained growth right up until its dissolution.
I understand your point, but it is a case of diagnosing a second-order effect but not taking into account it's actual impact. Outside of capitalism, there were not really any economic systems that had such gigantic vorticity that they would spontaneously enter disastrous depressions.
Those cycles that you diagnosed, for example, eventually ended up by either a worker lying to stop the cascade, or someone at the planning office realizing the issue. They never snowballed into a Great Depression, because that simply could not happen. The reason the behaviour of unrestrained vorticity is possible in capitalism is because of capital markets. Without capital markets, or an equivalent, the behaviour you are diagnosing is inevitably dampened.
Think about it like a PID loop - there is a -d^2/dt^2 term in it, the D-loop term. But because of the I-term and the P-term, if you tune it correctly, general error always goes down over a full wavelength. Capital markets allow the D-term to overpower the loop.