Heya mister OP,
Coming from an engineering background this graph looks quite similar to the operation of a PID controller. As value is added to bitcoin from other sources (modelled as a step input, aka a horizontal line of some price equivalent on your graph), the price overshoots, undershoots, then eventually attenuates (stabilizes) around that value. Of course as bitcoin gains legitimacy greater and greater step inputs will be applied in the system, indeed resulting in a kind of huge black swan event when huge players of capital start to invest.
What this model fails to capture is that after there is no more major capital to invest (aka bitcoin has gone mainstream, TO THE MOON, etc.) the system will again attenuate, but much more quickly and with less variance because there is no (emotional and/or fiat-centric attitude) justification for the price to undershoot by so much.
Add a linear component after this date of stabilization to reflect the deflationary nature of the currency and you will have what I think is a pretty accurate model of how things will go down!
I'm excited to see if my theory turns out to be right.