Anyone who's interested in chaos and dynamical systems must come along the Lotka-Volterra equations at some point. And most of the times you find descriptions for it in 2 dimensions, with one predator and one prey population. But there's more to it as John S. Costello showed in Synchronisation of Chaos in a Generalized Lotka-Volterra Atractor
(The Nonlinear Journal Vol. 1, 1999 pp 11-17).
Let's see!

Find a wonderful explanation by Bret Victor here: Interactive exploration of dynamical system.
Another interpretation of the 2D system can be found on the WebGL playground.