Rail pendulum

Simulation of a pendulum with two bobs of similar mass, one of which being a pivot attached to the rail.

Similar to a spline, the rail is constructed by a set of points but unlike the spline, the segmented function is infinitely differentiable at any point in compliance with application of higher order numerical integration. Additionally, this function uses compact support with the up-function, reducing the computational complexity compared to other smooth interpolation methods like Fourier series.

0:00 there is no double pendulum
0:22 regular motion
0:33 cyclic "pyramid" rail (chaotic motion)
0:48 cyclic "stepped" rail (chaotic motion)
1:15 regular motion
1:33 chaotic motion

The non-separable Hamiltonian system was simulated using high order explicit symplectic integrators. The simulation was performed and rendered in real time.

[KatzRool]

This is *definitely* me when I'm Rail pendulum.

[momom]

Incredible! Very thought-provoking, as usual!

[leoshierts]

this is the most fun pendulum video i've found

[pauburguetvela]

You could put the second pendulum on rails too, if you think about it, it's already the same as a circular rail. Very interesting video

[_abdul]

The Story, The editing, The Character Arc and the beautiful ending. Definitely love it.

[MrKyltpzyxm]

My fulcrum hurts just watching this. YouTube is a young pendulum's game.

[Memezuii]

I thought this was a Bill Wurtz video at first from the thumbnail.

[lgbt-sexinstructor]

such a pendulum can be a much more elegant way to draw, for example, a batman logo 😅

much better than double, triple, etc. pendulums