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查看完整版本 : Double Pendulum - Cleve Moler on Mathematics and Computing


poster
2026-02-03, 09:02
I was amazed by two recent YouTube videos about the double pendulum.

Contents


Double Pendulum (#f998dacd-0007-401d-863f-d12f12440170)
Cleve's Lab (#c10a74d0-ab37-4c8c-a6d8-4f9afd2df083)
Drew's Campfire (#1a2c8c2d-ff64-46b5-a4a5-3dc0ba5f556a)
2Swap (#4230ae8d-ecc2-4f3d-b7b9-bcc9769df0b7)

Double Pendulum

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 chaotic.

Cleve's Lab

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

https://blogs.mathworks.com/cleve/files/swinger.gif

Drew's Campfire

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

Here is a sample frame.

https://blogs.mathworks.com/cleve/files/Drew.png

2Swap

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

Here is a frame featuring the Pretzel pendulum.

https://blogs.mathworks.com/cleve/files/Pretzel.jpg


Get the MATLAB code (requires JavaScript) (javascript:grabCode_6d2eb2765ab8436192df2a9fb7512ba8())

Published with MATLAB® R2024b