In 1993 I took a graduate seminar in Chaos Theory that was fascinating. We studied a wide variety of systems, like Cellular Automata, The Game of Life, and Mandlebrot Sets. We also studied non-linear dynamic systems. One that I did a deep dive on was modeling a car chained to the top of a flat-bed trailer as it went down the road. Another one that we studied was the logistic model, or the Lotka-Volterra predator-prey model.

In 1993 there weren't as many good and widely available graphics libraries as there are now. I did most of my simulations in Mathematica, Matlab, C, or Pascal. Some of the simulations would cause my computer to grind all night long and in the morning I'd take a screenshot to save/print. Today it can be done interactively with javascript in the browser.

The Predator/Prey logistic model wasn't particularly CPU intense but it was interesting because slight perterbations in the model can cause drastic changes in equilibrium - or extinction! I've created a model that lets you alter the system parameters so you can see what happens to the ecosystem.

summary:

Image from: http://jan.ucc.nau.edu/lrm22/lessons/predator_prey/predator_prey.html