This chaotic pendulum is really weird

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Chaos theory is beautiful and ridiculous, and I’m a big fan of this pendulum.

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“Which is why, it’s called, Chaos Theory”.

Those were the missing words.

MikeyDavis
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If I set my alarm every morning at one minute different, this is what my day looks like

Killerplanes
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That's why changing a little bit in a past might make a big difference in a future because there is so much pivot.

donkeytrump
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It's not just the small difference between initial position that caused the difference. It's a combination of:
-> initial position difference where the hand was holding each pendulum (x, y)
-> position difference on the nail/shaft for each pendulum (z axis)
-> very small surface friction difference according to those 2 above
-> very little, unnoticable mass difference on each pendulum to eachother
-> interference from the air friction caused by the gaps between each pendulum
-> interference from wind waves caused by each pendulum, the wind hits the other pendulum, causing air resistance
-> other uncountable factors i haven't thought of

adrianc
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Oh come on, they weren't even that close before you released them. Now i need my own double pendulums

theScarletSprig
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Now the question is if you could somehow set off the pendulum in exactly the same way as the first time, would it move in exactly same way? Or maybe there are also smaller things that we can't notice that impact its trail?

makokitsune
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Not long ago I programmed one in a computer simulation

anirban
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Do this experiment with different colours

BHUCampus
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Fortunately, for mathematicians in thousands or millions of years, this is smooth chaos as opposed to discontinuous chaos. It’s really an unknown system of second order autonomous linear differential equations. There may be no closed form solution, But I’m sure we’ll come up with a closed form equation soon enough.

jackkalver
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Not all chaotic systems are unpredictable, only non-deterministic systems are unpredictable

frxk
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I think the “double slit experiment” is the most odd thing EVER 😱 Particles moving differently when being observed…

Mar
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There is a video of a tripple Inverter pendulum on Youtube. Where the guy masterd it with motion control machinery. Really impressive

stalkinghawk
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What happens to the chaotic pattern when the distal segment is fixated?

charlesvantanajal
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It seems very little energy is put into the release, but quite a lot of energy is produced from the result without any further input. Could there be any potential to harnessing energy from this type of mechanism or a further advancement of it?

kevinthweatt
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What kind of pivots are you using? What would I look for at a warehouse? (Thanks)

MyWissam
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looks like it is a skilled knife swinger

RenzIverTachagon
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How to dance to dubstep: flailing spider legs GO!

matthewboyd
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Aren’t Fourier transforms related? Somehow those can model more precisely

michaelmartin
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Nice experiment👍- keep up the good work!😊, it's facinating that such a simple system can represent chaotic motion. A lot of things like fiction, heat etc. may vary tiny and small differences are amplified as your video shows. But even an idealistic computer simulation with no friction etc. of the same system shows chaotic motion (did one sim in Ansys rigid dynamics with tracker on the end of the second pendulum and even this idealized system shows chaotic motion)🤓

physforfun
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Are these demonstration devices commercially available?

danielsegalman
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