Double Pendulum - Cleve Moler on Mathematics and Computing
 

I was amazed by two recent YouTube videos about the double pendulum.

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[LIST][*][URL="#f998dacd-0007-401d-863f-d12f12440170"]Double Pendulum[/URL][*][URL="#c10a74d0-ab37-4c8c-a6d8-4f9afd2df083"]Cleve's Lab[/URL][*][URL="#1a2c8c2d-ff64-46b5-a4a5-3dc0ba5f556a"]Drew's Campfire[/URL][*][URL="#4230ae8d-ecc2-4f3d-b7b9-bcc9769df0b7"]2Swap[/URL][/LIST][B]Double Pendulum[/B]

The classic double pendulum consists of one pendulum attached to a fixed pivot and a second pendulum attached to the end of the first. The system is governed by Newton's laws, and its motion is completely determined by the initial conditions. There is no randomness. However, its behavior is sometimes difficult to predict. It may be [I]chaotic[/I].

[B]Cleve's Lab[/B]

Ten years ago, I included the double pendulum in [URL="https://www.mathworks.com/company/technical-articles/introducing-cleves-laboratory.html"]Cleve's Lab[/URL].

[IMG]https://blogs.mathworks.com/cleve/files/swinger.gif[/IMG]

[B]Drew's Campfire[/B]

Drew's Campfire is one recent video about the double pendulum. Here is a [URL="https://www.youtube.com/watch?v=8jVogdTJESw&t=355s,"]link to the video[/URL].

Here is a sample frame.

[IMG]https://blogs.mathworks.com/cleve/files/Drew.png[/IMG]

[B]2Swap[/B]

The second video comes from 2Swap. Here is a [URL="https://www.youtube.com/watch?v=dtjb2OhEQcU,"]link to the video[/URL].

Here is a frame featuring the Pretzel pendulum.

[IMG]https://blogs.mathworks.com/cleve/files/Pretzel.jpg[/IMG]

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