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Double Pendulums are Chaoticn't
About this video
A short explainer from 2swap on the chaotic behavior of double pendulums. It examines how predictable the system is for some starting conditions and whether closed-form solutions exist.
Why it appears in the archive
Cited as a related video when threads touch on chaos, predictability and fractals from pendulum state spaces.
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From the Hacker News discussion
You can make a fractal out of the state graph of a double pendulum: [VIDEO] I don't doubt there could be an iterative formula that maps to it, but I'd be very surprised.
Read original comment ↗As an aside, here's a relevant video about the (sometimes not) chaotic nature of double pendulums: [VIDEO]
Read original comment ↗Correct, it's akin to chaos theory or the butterfly effect, which, even it can be predictable for many ranges of input: [VIDEO]
Read original comment ↗