The source of the order is pretty apparent. Bicycles (and other tandem two-wheeled vehicles like motorcycles, etc.) are self balancing as long as they're moving forward. This is due to a combination of gyroscopic effect as well as the offset of their front wheel relative to the steering axis. They stay upright by allowing the front wheel to meander back and forth in a regular pattern. Insofar as I can figure from a lifetime of riding bicycles and motorcycles, the length of the "wobbles," i.e. forming the peaks in sine wave pattern above are not influenced by speed. Rather, they're some multiple of the distance between the front axle and steering stem. The frequency at which they occur relative to time is of course directly proportional to speed, which is why when you get into such a tank-slapper on your motorcycle at 65+ MPH you're likely to eat shit. But the distance on pavement per wobble remains roughly constant.

This self stabilizing effect is going on all the time and in fact even if you're riding your bicycle in what you might think is a straight line, it's keeping itself balanced by wobbling back and forth minutely at this same frequency. If you try locking the stem on a bike solid, e.g. by cranking down the stem nut until the handlebars won't move anymore, you'll find it nearly impossible to ride even in a straight line and completely impossible to steer -- even if you try to do so by leaning.

I am 99 % certain this is from a simulation on a computer.

Pubisycles

Not a Physicist, so guessing a little. Both seem turbulent/chaotic systems that rely on the previous state. Each part of a dynamic flow/bike trajectory are small fractals of the initial instability/configuration. A bike is designed to steer straight - counter-steering - while moving, so it is unstable around the line/curve. On the other hand, fluid tend to become unstable at the slightest disturbance and if pushed forward, goes into a oscillating state that breaks up into eddies. I would guess that the bike's forward instability gets exponentially higher at lower speeds, and the bike trajectory lines is not pushed forward as with moving fluid above, so the bike shows another turbulent/chaotic fractal system with a different starting configuration. ..I think ;-)

I wondered why I was hungry

Pubic extensions

Symmetrical up/down? Or do you mean almost periodic right to left?

It's entirely expected. The anomalies are going to be on the furthest left and right; Bikes that fall down right away or ones that stay up longest. The average would be the densest area - bikes that performed "okay." The symmetry is also an expected function with the only options for the wheel to turn being left or right.

If these were not standardized releases, meaning, the energy used to push the bike varied from one to the next - say, because a person was pushing them and not a machine with a defined load - then it explains the short vs. long distances, however that would be normalized even with a predefined load and look similar to this... just bigger distances.

Are you a bike Medusa?

It's simulated.

Probably

It was performed virtually.

"It Takes Two Neurons To Ride a Bicycle" | Matthew Cook

Almost certainly not, the coriolis effect is so small on this space and time scale it's barely measurable even with advanced equipment.

Edit: also from other comments the bike is virtual anyways lol

Embedded here:

Now repeat 799 more times

It was done inside a physics simulation.

"It Takes Two Neurons To Ride a Bicycle" | Matthew Cook

I think they mean to the right like straight from left to right.