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by throwaway173738 256 days ago
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.