Although the double pendulum is the poster boy of Chaos Theory, there are actually two "special" modes of oscillation (called "eigenmodes") in which the masses move in perfect harmonypic.twitter.com/CnivjtF8Hg
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If you want to know more about this topic, it can't hurt to read a certain book by
@stevenstrogatz:https://books.google.com/books?id=1kpnDwAAQBAJ&lpg=PP1&dq=nonlinear%20dynamics%20and%20chaos&pg=PA281#v=onepage&q&f=false …
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Also, his class lectures available on YouTube are a great compliment to the book.
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