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I am looking for any publicly available dataset that has a "cyclical" structure to it, in the sense that if I plot the data in a certain way, a loop becomes visible. A good example of this would be the Lotka-Volterra predator-prey model, which has a very pronounced cycle, shown below. Are there any other good examples that demonstrate this?

Predator-prey picture

Tom Solberg
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    Welcome to DS SE! I posted an answer that should help you find relevant datasets, but any dataset requests would be better received on the Open Data SE site: https://opendata.stackexchange.com/. The reason I answered this one was because I thought I could give more information (particular search terms) than simply providing a link to a dataset – Ben Jul 22 '20 at 17:53
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    Thanks for the link! – Tom Solberg Jul 22 '20 at 18:30

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The search term you are looking for is limit cycle. You can find some examples (legged-locomotion, digital control systems, etc.) here: https://www.sciencedirect.com/topics/engineering/limit-cycle.

Ben
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