[jheitmann]

There's a book covering this and more from 1993 called "Strange Attractors: Creating Patterns in Chaos" by Julian C. Sprott that's freely available here: https://sprott.physics.wisc.edu/SA.HTM

It's fun (errr... for me at least) to translate the ancient basic code into a modern implementation and play around.

The article mentions that it's interesting how the 2d functions can look 3d. That's definitely true. But, there's also no reason why you can't just add on however many dimensions you want and get real many-dimensioned structures with which you can noodle around with visualizations and animations.

[throwaway173738]

As an undergraduate I worked with some other Physics students to construct an analog circuit using op amps that modeled one of Sprott’s equations and we confirmed experimentally that the system exhibited chaotic behavior. We also used a transconductance amplifier as a control parameter and swept through the different states (chaotic, period windows) of the circuit. We did not go as far as comparing the experimental and predicted period windows while I was there but it was an interesting project for us. At one point I turned up an article in Physica D describing how to calculate the first Lyapunov exponent using small data sets which we used to compute whether we were in a period window or not.